49638576960 has 336 divisors, whose sum is σ = 196382249856. Its totient is φ = 11272974336.

The previous prime is 49638576929. The next prime is 49638576991. The reversal of 49638576960 is 6967583694.

49638576960 is a `hidden beast` number, since 496 + 3 + 8 + 57 + 6 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (49638576929) and next prime (49638576991).

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×49638576960² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3157279 + ... + 3172961.

Almost surely, 2^49638576960 is an apocalyptic number.

49638576960 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 49638576960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98191124928).

49638576960 is an abundant number, since it is smaller than the sum of its proper divisors (146743672896).

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

49638576960 is a wasteful number, since it uses less digits than its factorization.

49638576960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15870 (or 15857 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 49638576960 in words is "forty-nine billion, six hundred thirty-eight million, five hundred seventy-six thousand, nine hundred sixty".