8672976000 has 768 divisors, whose sum is σ = 34664928480. Its totient is φ = 2064384000.

The previous prime is 8672975963. The next prime is 8672976019. The reversal of 8672976000 is 6792768.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 6268838976 + 2404137024 = 79176^2 + 49032^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 76751944 + ... + 76752056.

Almost surely, 2^8672976000 is an apocalyptic number.

8672976000 is a gapful number since it is divisible by the number (80) 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 8672976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17332464240).

8672976000 is an abundant number, since it is smaller than the sum of its proper divisors (25991952480).

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

8672976000 is a wasteful number, since it uses less digits than its factorization.

8672976000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 8672976000 is about 93128.8140158566. The cubic root of 8672976000 is about 2054.5783850984.

The spelling of 8672976000 in words is "eight billion, six hundred seventy-two million, nine hundred seventy-six thousand".