476113612800 has 1248 divisors, whose sum is σ = 1944912977920. Its totient is φ = 100329062400.

The previous prime is 476113612787. The next prime is 476113612801. The reversal of 476113612800 is 8216311674.

It is not an unprimeable number, because it can be changed into a prime (476113612801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1756876665 + ... + 1756876935.

Almost surely, 2^476113612800 is an apocalyptic number.

476113612800 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 476113612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972456488960).

476113612800 is an abundant number, since it is smaller than the sum of its proper divisors (1468799365120).

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

476113612800 is a wasteful number, since it uses less digits than its factorization.

476113612800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

It can be divided in two parts, 47611361 and 2800, that added together give a triangular number (47614161 = T₉₇₅₈).

The spelling of 476113612800 in words is "four hundred seventy-six billion, one hundred thirteen million, six hundred twelve thousand, eight hundred".