8672772768 has 288 divisors, whose sum is σ = 27234833472. Its totient is φ = 2404638720.

The previous prime is 8672772761. The next prime is 8672772781.

It is a happy number.

8672772768 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (8672772761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7305871 + ... + 7307057.

It is an arithmetic number, because the mean of its divisors is an integer number (94565394).

Almost surely, 2^8672772768 is an apocalyptic number.

8672772768 is a gapful number since it is divisible by the number (88) 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 8672772768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13617416736).

8672772768 is an abundant number, since it is smaller than the sum of its proper divisors (18562060704).

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

8672772768 is a wasteful number, since it uses less digits than its factorization.

8672772768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276 (or 1257 counting only the distinct ones).

The product of its digits is 22127616, while the sum is 60.

The square root of 8672772768 is about 93127.7228756293. The cubic root of 8672772768 is about 2054.5623368071.

The spelling of 8672772768 in words is "eight billion, six hundred seventy-two million, seven hundred seventy-two thousand, seven hundred sixty-eight".