475456506556800 has 384 divisors, whose sum is σ = 1572065650108800. Its totient is φ = 126300631449600.

The previous prime is 475456506556783. The next prime is 475456506556831. The reversal of 475456506556800 is 8655605654574.

It is a tau number, because it is divible by the number of its divisors (384).

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, 5072084331 + ... + 5072178069.

It is an arithmetic number, because the mean of its divisors is an integer number (4093920963825).

Almost surely, 2^{475456506556800} is an apocalyptic number.

475456506556800 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 475456506556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786032825054400).

475456506556800 is an abundant number, since it is smaller than the sum of its proper divisors (1096609143552000).

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

475456506556800 is a wasteful number, since it uses less digits than its factorization.

475456506556800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95794 (or 95777 counting only the distinct ones).

The product of its (nonzero) digits is 604800000, while the sum is 66.

The spelling of 475456506556800 in words is "four hundred seventy-five trillion, four hundred fifty-six billion, five hundred six million, five hundred fifty-six thousand, eight hundred".