8625096000 has 448 divisors, whose sum is σ = 32136648960. Its totient is φ = 2264371200.

The previous prime is 8625095939. The next prime is 8625096001. The reversal of 8625096000 is 6905268.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8625096001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15767727 + ... + 15768273.

Almost surely, 2^8625096000 is an apocalyptic number.

8625096000 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 8625096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16068324480).

8625096000 is an abundant number, since it is smaller than the sum of its proper divisors (23511552960).

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

8625096000 is a wasteful number, since it uses less digits than its factorization.

8625096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 8625096000 is about 92871.3949502214. The cubic root of 8625096000 is about 2050.7905735250.

The spelling of 8625096000 in words is "eight billion, six hundred twenty-five million, ninety-six thousand".