475147167384960 has 7680 divisors, whose sum is σ = 2275673647104000. Its totient is φ = 93687278469120.

The previous prime is 475147167384947. The next prime is 475147167384961. The reversal of 475147167384960 is 69483761741574.

475147167384960 is a `hidden beast` number, since 4 + 7 + 5 + 1 + 4 + 71 + 67 + 3 + 8 + 496 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (475147167384961) by changing a digit.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 2039258229004 + ... + 2039258229236.

It is an arithmetic number, because the mean of its divisors is an integer number (296311672800).

Almost surely, 2^{475147167384960} is an apocalyptic number.

475147167384960 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 475147167384960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1137836823552000).

475147167384960 is an abundant number, since it is smaller than the sum of its proper divisors (1800526479719040).

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

475147167384960 is a wasteful number, since it uses less digits than its factorization.

475147167384960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 853493760, while the sum is 72.

The spelling of 475147167384960 in words is "four hundred seventy-five trillion, one hundred forty-seven billion, one hundred sixty-seven million, three hundred eighty-four thousand, nine hundred sixty".