475460870556672 has 6336 divisors, whose sum is σ = 2068079459696640. Its totient is φ = 101733669273600.

The previous prime is 475460870556667. The next prime is 475460870556761. The reversal of 475460870556672 is 276655078064574.

475460870556672 is a `hidden beast` number, since 4 + 7 + 5 + 4 + 6 + 0 + 8 + 7 + 0 + 556 + 67 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (6336).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 475460870556672.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 3743786382273 + ... + 3743786382399.

Almost surely, 2^{475460870556672} is an apocalyptic number.

475460870556672 is a gapful number since it is divisible by the number (42) 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 475460870556672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034039729848320).

475460870556672 is an abundant number, since it is smaller than the sum of its proper divisors (1592618589139968).

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

475460870556672 is a wasteful number, since it uses less digits than its factorization.

475460870556672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 2370816000, while the sum is 72.

The spelling of 475460870556672 in words is "four hundred seventy-five trillion, four hundred sixty billion, eight hundred seventy million, five hundred fifty-six thousand, six hundred seventy-two".