633776474976 has 96 divisors (see below), whose sum is σ = 1739450764800. Its totient is φ = 201671568384.

The previous prime is 633776474971. The next prime is 633776475041. The reversal of 633776474976 is 679474677336.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a self number, because there is not a number n which added to its sum of digits gives 633776474976.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (633776474971) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 825300 + ... + 1395948.

It is an arithmetic number, because the mean of its divisors is an integer number (18119278800).

Almost surely, 2^633776474976 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 633776474976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869725382400).

633776474976 is an abundant number, since it is smaller than the sum of its proper divisors (1105674289824).

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

633776474976 is a wasteful number, since it uses less digits than its factorization.

633776474976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571188 (or 571180 counting only the distinct ones).

The product of its digits is 672126336, while the sum is 69.

The spelling of 633776474976 in words is "six hundred thirty-three billion, seven hundred seventy-six million, four hundred seventy-four thousand, nine hundred seventy-six".