49634052624 has 480 divisors, whose sum is σ = 163269550080. Its totient is φ = 13948526592.

The previous prime is 49634052623. The next prime is 49634052661. The reversal of 49634052624 is 42625043694.

49634052624 is a `hidden beast` number, since 4 + 9 + 63 + 40 + 526 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 49634052624.

It is not an unprimeable number, because it can be changed into a prime (49634052623) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 158575092 + ... + 158575404.

It is an arithmetic number, because the mean of its divisors is an integer number (340144896).

Almost surely, 2^49634052624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49634052624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81634775040).

49634052624 is an abundant number, since it is smaller than the sum of its proper divisors (113635497456).

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

49634052624 is a wasteful number, since it uses less digits than its factorization.

49634052624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 49634052624 in words is "forty-nine billion, six hundred thirty-four million, fifty-two thousand, six hundred twenty-four".