6332976400 has 135 divisors (see below), whose sum is σ = 15997727599. Its totient is φ = 2409045760.

The previous prime is 6332976389. The next prime is 6332976427. The reversal of 6332976400 is 46792336.

The square root of 6332976400 is 79580.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 697171216 + 5635805184 = 26404^2 + 75072^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 36606714 + ... + 36606886.

Almost surely, 2^6332976400 is an apocalyptic number.

6332976400 is the 79580-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6332976400

6332976400 is an abundant number, since it is smaller than the sum of its proper divisors (9664751199).

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

6332976400 is a wasteful number, since it uses less digits than its factorization.

6332976400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 40.

The cubic root of 6332976400 is about 1850.1316098238.

The spelling of 6332976400 in words is "six billion, three hundred thirty-two million, nine hundred seventy-six thousand, four hundred".