496997690976800 has 144 divisors (see below), whose sum is σ = 1341940263341832. Its totient is φ = 178547195289600.

The previous prime is 496997690976779. The next prime is 496997690976811. The reversal of 496997690976800 is 8679096799694.

It can be written as a sum of positive squares in 12 ways, for example, as 584496946576 + 496413194030224 = 764524^2 + 22280332^2 .

It is a junction number, because it is equal to n+sod(n) for n = 496997690976697 and 496997690976706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 645402221 + ... + 646171820.

Almost surely, 2^{496997690976800} is an apocalyptic number.

496997690976800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

496997690976800 is an abundant number, since it is smaller than the sum of its proper divisors (844942572365032).

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

496997690976800 is a wasteful number, since it uses less digits than its factorization.

496997690976800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291574111 (or 1291574098 counting only the distinct ones).

The product of its (nonzero) digits is 19999187712, while the sum is 89.

The spelling of 496997690976800 in words is "four hundred ninety-six trillion, nine hundred ninety-seven billion, six hundred ninety million, nine hundred seventy-six thousand, eight hundred".