4939349760 has 288 divisors, whose sum is σ = 17677820160. Its totient is φ = 1305907200.

The previous prime is 4939349731. The next prime is 4939349761. The reversal of 4939349760 is 679439394.

4939349760 is a `hidden beast` number, since 4 + 9 + 3 + 93 + 497 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×4939349760² = 48794352103224115200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4939349697 and 4939349706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4939349761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4526815 + ... + 4527905.

It is an arithmetic number, because the mean of its divisors is an integer number (61381320).

Almost surely, 2^4939349760 is an apocalyptic number.

4939349760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4939349760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8838910080).

4939349760 is an abundant number, since it is smaller than the sum of its proper divisors (12738470400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4939349760 is a wasteful number, since it uses less digits than its factorization.

4939349760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252 (or 1232 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The square root of 4939349760 is about 70280.5076817178. The cubic root of 4939349760 is about 1703.0337708045.

The spelling of 4939349760 in words is "four billion, nine hundred thirty-nine million, three hundred forty-nine thousand, seven hundred sixty".