6372772736 has 128 divisors (see below), whose sum is σ = 14484204000. Its totient is φ = 2766274560.

The previous prime is 6372772697. The next prime is 6372772741.

6372772736 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×6372772736² = 81224464689409851392, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3959900 + ... + 3961508.

Almost surely, 2^6372772736 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 6372772736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7242102000).

6372772736 is an abundant number, since it is smaller than the sum of its proper divisors (8111431264).

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

6372772736 is a wasteful number, since it uses less digits than its factorization.

6372772736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1760 (or 1748 counting only the distinct ones).

The product of its digits is 3111696, while the sum is 50.

The square root of 6372772736 is about 79829.6482267084. The cubic root of 6372772736 is about 1853.9989208628.

The spelling of 6372772736 in words is "six billion, three hundred seventy-two million, seven hundred seventy-two thousand, seven hundred thirty-six".