475207888320 has 1344 divisors, whose sum is σ = 1949655882240. Its totient is φ = 108893030400.

The previous prime is 475207888307. The next prime is 475207888321. The reversal of 475207888320 is 23888702574.

475207888320 is a `hidden beast` number, since 4 + 7 + 520 + 7 + 8 + 88 + 32 + 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 not an unprimeable number, because it can be changed into a prime (475207888321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11051346219 + ... + 11051346261.

Almost surely, 2^475207888320 is an apocalyptic number.

475207888320 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 475207888320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974827941120).

475207888320 is an abundant number, since it is smaller than the sum of its proper divisors (1474447993920).

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

475207888320 is a wasteful number, since it uses less digits than its factorization.

475207888320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 475207888320 in words is "four hundred seventy-five billion, two hundred seven million, eight hundred eighty-eight thousand, three hundred twenty".