476977951296 has 896 divisors, whose sum is σ = 1799539200000. Its totient is φ = 122808268800.

The previous prime is 476977951283. The next prime is 476977951339. The reversal of 476977951296 is 692159779674.

476977951296 is a `hidden beast` number, since 47 + 69 + 7 + 7 + 9 + 512 + 9 + 6 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 971441611 + ... + 971442101.

Almost surely, 2^476977951296 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 476977951296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899769600000).

476977951296 is an abundant number, since it is smaller than the sum of its proper divisors (1322561248704).

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

476977951296 is a wasteful number, since it uses less digits than its factorization.

476977951296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 663 counting only the distinct ones).

The product of its digits is 360067680, while the sum is 72.

The spelling of 476977951296 in words is "four hundred seventy-six billion, nine hundred seventy-seven million, nine hundred fifty-one thousand, two hundred ninety-six".