8904672000 has 648 divisors, whose sum is σ = 37331959392. Its totient is φ = 2032128000.

The previous prime is 8904671981. The next prime is 8904672001. The reversal of 8904672000 is 2764098.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (8904672001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14111685 + ... + 14112315.

Almost surely, 2^8904672000 is an apocalyptic number.

8904672000 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 8904672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18665979696).

8904672000 is an abundant number, since it is smaller than the sum of its proper divisors (28427287392).

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

8904672000 is a wasteful number, since it uses less digits than its factorization.

8904672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 8904672000 is about 94364.5696222899. The cubic root of 8904672000 is about 2072.7136572597.

The spelling of 8904672000 in words is "eight billion, nine hundred four million, six hundred seventy-two thousand".