49963680 has 288 divisors, whose sum is σ = 195655824. Its totient is φ = 11501568.

The previous prime is 49963657. The next prime is 49963681. The reversal of 49963680 is 8636994.

49963680 is a `hidden beast` number, since 4 + 9 + 9 + 636 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 14107536 + 35856144 = 3756^2 + 5988^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49963681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 318162 + ... + 318318.

Almost surely, 2^49963680 is an apocalyptic number.

49963680 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 49963680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97827912).

49963680 is an abundant number, since it is smaller than the sum of its proper divisors (145692144).

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

49963680 is a wasteful number, since it uses less digits than its factorization.

49963680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 49963680 is about 7068.4991334795. The cubic root of 49963680 is about 368.3139255737.

The spelling of 49963680 in words is "forty-nine million, nine hundred sixty-three thousand, six hundred eighty".