496757053728 has 576 divisors, whose sum is σ = 1609575432192. Its totient is φ = 144275281920.

The previous prime is 496757053651. The next prime is 496757053757. The reversal of 496757053728 is 827350757694.

496757053728 is a `hidden beast` number, since 4 + 9 + 6 + 7 + 5 + 70 + 537 + 28 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 987588325 + ... + 987588827.

It is an arithmetic number, because the mean of its divisors is an integer number (2794401792).

Almost surely, 2^496757053728 is an apocalyptic number.

496757053728 is a gapful number since it is divisible by the number (48) 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 496757053728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804787716096).

496757053728 is an abundant number, since it is smaller than the sum of its proper divisors (1112818378464).

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

496757053728 is a wasteful number, since it uses less digits than its factorization.

496757053728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 88905600, while the sum is 63.

The spelling of 496757053728 in words is "four hundred ninety-six billion, seven hundred fifty-seven million, fifty-three thousand, seven hundred twenty-eight".