496476556800 has 480 divisors, whose sum is σ = 1934872541184. Its totient is φ = 109817856000.

The previous prime is 496476556789. The next prime is 496476556811. The reversal of 496476556800 is 8655674694.

It is an interprime number because it is at equal distance from previous prime (496476556789) and next prime (496476556811).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8303010 + ... + 8362590.

Almost surely, 2^496476556800 is an apocalyptic number.

496476556800 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 496476556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967436270592).

496476556800 is an abundant number, since it is smaller than the sum of its proper divisors (1438395984384).

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

496476556800 is a wasteful number, since it uses less digits than its factorization.

496476556800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59650 (or 59629 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 60.

The spelling of 496476556800 in words is "four hundred ninety-six billion, four hundred seventy-six million, five hundred fifty-six thousand, eight hundred".