633431326920 has 256 divisors, whose sum is σ = 2188753920000. Its totient is φ = 143656160256.

The previous prime is 633431326909. The next prime is 633431326937. The reversal of 633431326920 is 29623134336.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56809506 + ... + 56820654.

It is an arithmetic number, because the mean of its divisors is an integer number (8549820000).

Almost surely, 2^633431326920 is an apocalyptic number.

633431326920 is a gapful number since it is divisible by the number (60) 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 633431326920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1094376960000).

633431326920 is an abundant number, since it is smaller than the sum of its proper divisors (1555322593080).

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

633431326920 is a wasteful number, since it uses less digits than its factorization.

633431326920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11692 (or 11688 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 42.

The spelling of 633431326920 in words is "six hundred thirty-three billion, four hundred thirty-one million, three hundred twenty-six thousand, nine hundred twenty".