633234763400 has 96 divisors (see below), whose sum is σ = 1499271228000. Its totient is φ = 248660421120.

The previous prime is 633234763361. The next prime is 633234763411. The reversal of 633234763400 is 4367432336.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8683892 + ... + 8756508.

It is an arithmetic number, because the mean of its divisors is an integer number (15617408625).

Almost surely, 2^633234763400 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 633234763400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749635614000).

633234763400 is an abundant number, since it is smaller than the sum of its proper divisors (866036464600).

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

633234763400 is a wasteful number, since it uses less digits than its factorization.

633234763400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73431 (or 73422 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 41.

The spelling of 633234763400 in words is "six hundred thirty-three billion, two hundred thirty-four million, seven hundred sixty-three thousand, four hundred".