8725632000 has 352 divisors, whose sum is σ = 30001880064. Its totient is φ = 2248704000.

The previous prime is 8725631987. The next prime is 8725632017. The reversal of 8725632000 is 2365278.

It is a super-2 number, since 2×8725632000² (a number of 21 digits) contains 22 as substring.

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, 11903634 + ... + 11904366.

Almost surely, 2^8725632000 is an apocalyptic number.

8725632000 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 8725632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15000940032).

8725632000 is an abundant number, since it is smaller than the sum of its proper divisors (21276248064).

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

8725632000 is a wasteful number, since it uses less digits than its factorization.

8725632000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 8725632000 is about 93411.0914185248. The cubic root of 8725632000 is about 2058.7279670090.

Adding to 8725632000 its reverse (2365278), we get a palindrome (8727997278).

The spelling of 8725632000 in words is "eight billion, seven hundred twenty-five million, six hundred thirty-two thousand".