474644513772000 has 4608 divisors, whose sum is σ = 2193245319283200. Its totient is φ = 99916996608000.

The previous prime is 474644513771999. The next prime is 474644513772053. The reversal of 474644513772000 is 277315446474.

474644513772000 is a `hidden beast` number, since 4 + 7 + 4 + 64 + 4 + 5 + 1 + 377 + 200 + 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 767 ways as a sum of consecutive naturals, for example, 233930266986 + ... + 233930269014.

It is an arithmetic number, because the mean of its divisors is an integer number (475964696025).

Almost surely, 2^{474644513772000} is an apocalyptic number.

474644513772000 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 474644513772000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1096622659641600).

474644513772000 is an abundant number, since it is smaller than the sum of its proper divisors (1718600805511200).

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

474644513772000 is a wasteful number, since it uses less digits than its factorization.

474644513772000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2127 (or 2080 counting only the distinct ones).

The product of its (nonzero) digits is 15805440, while the sum is 54.

The spelling of 474644513772000 in words is "four hundred seventy-four trillion, six hundred forty-four billion, five hundred thirteen million, seven hundred seventy-two thousand".