6372882736 has 80 divisors (see below), whose sum is σ = 13667875200. Its totient is φ = 2854438400.

The previous prime is 6372882697. The next prime is 6372882767.

6372882736 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×6372882736² = 81227268733613691392, which contains 22 as substring.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6562731 + ... + 6563701.

It is an arithmetic number, because the mean of its divisors is an integer number (170848440).

Almost surely, 2^6372882736 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 6372882736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6833937600).

6372882736 is an abundant number, since it is smaller than the sum of its proper divisors (7294992464).

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

6372882736 is a wasteful number, since it uses less digits than its factorization.

6372882736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498 (or 1492 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 52.

The square root of 6372882736 is about 79830.3371908199. The cubic root of 6372882736 is about 1854.0095880515.

The spelling of 6372882736 in words is "six billion, three hundred seventy-two million, eight hundred eighty-two thousand, seven hundred thirty-six".