496704092688 has 120 divisors (see below), whose sum is σ = 1426151517336. Its totient is φ = 161284147200.

The previous prime is 496704092681. The next prime is 496704092693. The reversal of 496704092688 is 886290407694.

496704092688 is a `hidden beast` number, since 496 + 7 + 0 + 40 + 9 + 26 + 88 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 94585772304 + 402118320384 = 307548^2 + 634128^2 .

It is not an unprimeable number, because it can be changed into a prime (496704092681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3838906 + ... + 3966182.

Almost surely, 2^496704092688 is an apocalyptic number.

496704092688 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 496704092688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713075758668).

496704092688 is an abundant number, since it is smaller than the sum of its proper divisors (929447424648).

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

496704092688 is a wasteful number, since it uses less digits than its factorization.

496704092688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127993 (or 127984 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 496704092688 in words is "four hundred ninety-six billion, seven hundred four million, ninety-two thousand, six hundred eighty-eight".