49705568640 has 2304 divisors, whose sum is σ = 243797299200. Its totient is φ = 9196830720.

The previous prime is 49705568629. The next prime is 49705568669. The reversal of 49705568640 is 4686550794.

49705568640 is a `hidden beast` number, since 4 + 9 + 7 + 0 + 556 + 86 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1603405425 + ... + 1603405455.

It is an arithmetic number, because the mean of its divisors is an integer number (105814800).

Almost surely, 2^49705568640 is an apocalyptic number.

49705568640 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 49705568640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121898649600).

49705568640 is an abundant number, since it is smaller than the sum of its proper divisors (194091730560).

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

49705568640 is a wasteful number, since it uses less digits than its factorization.

49705568640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 49705568640 in words is "forty-nine billion, seven hundred five million, five hundred sixty-eight thousand, six hundred forty".