949849908480 has 1008 divisors, whose sum is σ = 3850859698560. Its totient is φ = 222256742400.

The previous prime is 949849908473. The next prime is 949849908521. The reversal of 949849908480 is 84809948949.

949849908480 is a `hidden beast` number, since 9 + 4 + 98 + 499 + 0 + 8 + 48 + 0 = 666.

949849908480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 949849908399 and 949849908408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 297663685 + ... + 297666875.

It is an arithmetic number, because the mean of its divisors is an integer number (3820297320).

Almost surely, 2^949849908480 is an apocalyptic number.

949849908480 is a gapful number since it is divisible by the number (90) 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 949849908480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1925429849280).

949849908480 is an abundant number, since it is smaller than the sum of its proper divisors (2901009790080).

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

949849908480 is a wasteful number, since it uses less digits than its factorization.

949849908480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3270 (or 3241 counting only the distinct ones).

The product of its (nonzero) digits is 214990848, while the sum is 72.

The spelling of 949849908480 in words is "nine hundred forty-nine billion, eight hundred forty-nine million, nine hundred eight thousand, four hundred eighty".