6632772366 has 64 divisors (see below), whose sum is σ = 14884321536. Its totient is φ = 1952755200.

The previous prime is 6632772347. The next prime is 6632772379.

6632772366 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2149861 + ... + 2152943.

It is an arithmetic number, because the mean of its divisors is an integer number (232567524).

Almost surely, 2^6632772366 is an apocalyptic number.

6632772366 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6632772366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7442160768).

6632772366 is an abundant number, since it is smaller than the sum of its proper divisors (8251549170).

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

6632772366 is a wasteful number, since it uses less digits than its factorization.

6632772366 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4017.

The product of its digits is 2286144, while the sum is 48.

The square root of 6632772366 is about 81441.8342499725. The cubic root of 6632772366 is about 1878.8770612102.

The spelling of 6632772366 in words is "six billion, six hundred thirty-two million, seven hundred seventy-two thousand, three hundred sixty-six".