476641079679744 has 1440 divisors, whose sum is σ = 1680420946635200. Its totient is φ = 134892298985472.

The previous prime is 476641079679673. The next prime is 476641079679799. The reversal of 476641079679744 is 447976970146674.

476641079679744 is a `hidden beast` number, since 4 + 7 + 6 + 6 + 410 + 7 + 96 + 79 + 7 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 146523539622 + ... + 146523542874.

Almost surely, 2^{476641079679744} 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 476641079679744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840210473317600).

476641079679744 is an abundant number, since it is smaller than the sum of its proper divisors (1203779866955456).

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

476641079679744 is an frugal number, since it uses more digits than its factorization.

476641079679744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3427 (or 3374 counting only the distinct ones).

The product of its (nonzero) digits is 10754021376, while the sum is 81.

The spelling of 476641079679744 in words is "four hundred seventy-six trillion, six hundred forty-one billion, seventy-nine million, six hundred seventy-nine thousand, seven hundred forty-four".