478769356800 has 2520 divisors, whose sum is σ = 2241792051840. Its totient is φ = 100329062400.

The previous prime is 478769356789. The next prime is 478769356817. The reversal of 478769356800 is 8653967874.

478769356800 is a `hidden beast` number, since 4 + 7 + 8 + 7 + 69 + 3 + 568 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2520).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 15444172785 + ... + 15444172815.

Almost surely, 2^478769356800 is an apocalyptic number.

478769356800 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 478769356800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1120896025920).

478769356800 is an abundant number, since it is smaller than the sum of its proper divisors (1763022695040).

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

478769356800 is a wasteful number, since it uses less digits than its factorization.

478769356800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 478769356800 in words is "four hundred seventy-eight billion, seven hundred sixty-nine million, three hundred fifty-six thousand, eight hundred".