6372670732800 has 480 divisors, whose sum is σ = 21359037344832. Its totient is φ = 1674738401280.

The previous prime is 6372670732711. The next prime is 6372670732849. The reversal of 6372670732800 is 82370762736.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×6372670732800² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 809429664 + ... + 809437536.

Almost surely, 2^{6372670732800} is an apocalyptic number.

6372670732800 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 6372670732800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10679518672416).

6372670732800 is an abundant number, since it is smaller than the sum of its proper divisors (14986366612032).

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

6372670732800 is a wasteful number, since it uses less digits than its factorization.

6372670732800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8208 (or 8187 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 51.

The spelling of 6372670732800 in words is "six trillion, three hundred seventy-two billion, six hundred seventy million, seven hundred thirty-two thousand, eight hundred".