476379997632 has 672 divisors, whose sum is σ = 1807549344000. Its totient is φ = 121623828480.

The previous prime is 476379997619. The next prime is 476379997633. The reversal of 476379997632 is 236799973674.

476379997632 is a `hidden beast` number, since 4 + 76 + 379 + 99 + 76 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (476379997633) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54947794 + ... + 54956462.

Almost surely, 2^476379997632 is an apocalyptic number.

476379997632 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 476379997632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903774672000).

476379997632 is an abundant number, since it is smaller than the sum of its proper divisors (1331169346368).

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

476379997632 is a wasteful number, since it uses less digits than its factorization.

476379997632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8774 (or 8751 counting only the distinct ones).

The product of its digits is 648121824, while the sum is 72.

The spelling of 476379997632 in words is "four hundred seventy-six billion, three hundred seventy-nine million, nine hundred ninety-seven thousand, six hundred thirty-two".