478764631800 has 1536 divisors, whose sum is σ = 2167061299200. Its totient is φ = 94277468160.

The previous prime is 478764631799. The next prime is 478764631841. The reversal of 478764631800 is 8136467874.

478764631800 is a `hidden beast` number, since 478 + 7 + 64 + 6 + 31 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1862897272 + ... + 1862897528.

It is an arithmetic number, because the mean of its divisors is an integer number (1410847200).

Almost surely, 2^478764631800 is an apocalyptic number.

478764631800 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 478764631800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1083530649600).

478764631800 is an abundant number, since it is smaller than the sum of its proper divisors (1688296667400).

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

478764631800 is a wasteful number, since it uses less digits than its factorization.

478764631800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 478764631800 in words is "four hundred seventy-eight billion, seven hundred sixty-four million, six hundred thirty-one thousand, eight hundred".