477855915264 has 1296 divisors, whose sum is σ = 1852421276160. Its totient is φ = 121648988160.

The previous prime is 477855915247. The next prime is 477855915283. The reversal of 477855915264 is 462519558774.

It is a happy number.

477855915264 is a `hidden beast` number, since 4 + 7 + 7 + 8 + 559 + 15 + 2 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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 143 ways as a sum of consecutive naturals, for example, 1228421182 + ... + 1228421570.

Almost surely, 2^477855915264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 477855915264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926210638080).

477855915264 is an abundant number, since it is smaller than the sum of its proper divisors (1374565360896).

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

477855915264 is a wasteful number, since it uses less digits than its factorization.

477855915264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 445 counting only the distinct ones).

The product of its digits is 84672000, while the sum is 63.

The spelling of 477855915264 in words is "four hundred seventy-seven billion, eight hundred fifty-five million, nine hundred fifteen thousand, two hundred sixty-four".