474893610428160 has 3456 divisors, whose sum is σ = 2286347692382208. Its totient is φ = 91347222528000.

The previous prime is 474893610428141. The next prime is 474893610428189. The reversal of 474893610428160 is 61824016398474.

474893610428160 is a `hidden beast` number, since 4 + 7 + 4 + 8 + 9 + 3 + 610 + 4 + 2 + 8 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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 383 ways as a sum of consecutive naturals, for example, 24836223400 + ... + 24836242520.

It is an arithmetic number, because the mean of its divisors is an integer number (661558938768).

Almost surely, 2^{474893610428160} is an apocalyptic number.

474893610428160 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 474893610428160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143173846191104).

474893610428160 is an abundant number, since it is smaller than the sum of its proper divisors (1811454081954048).

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

474893610428160 is a wasteful number, since it uses less digits than its factorization.

474893610428160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19253 (or 19227 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 474893610428160 in words is "four hundred seventy-four trillion, eight hundred ninety-three billion, six hundred ten million, four hundred twenty-eight thousand, one hundred sixty".