476609599872 has 576 divisors, whose sum is σ = 1695751705440. Its totient is φ = 127671828480.

The previous prime is 476609599871. The next prime is 476609599883. The reversal of 476609599872 is 278995906674.

476609599872 is a `hidden beast` number, since 4 + 7 + 6 + 609 + 5 + 9 + 9 + 8 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 476609599872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (476609599871) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 298439778 + ... + 298441374.

Almost surely, 2^476609599872 is an apocalyptic number.

476609599872 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 476609599872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847875852720).

476609599872 is an abundant number, since it is smaller than the sum of its proper divisors (1219142105568).

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

476609599872 is a wasteful number, since it uses less digits than its factorization.

476609599872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1959 (or 1937 counting only the distinct ones).

The product of its (nonzero) digits is 411505920, while the sum is 72.

The spelling of 476609599872 in words is "four hundred seventy-six billion, six hundred nine million, five hundred ninety-nine thousand, eight hundred seventy-two".