8632638000 has 480 divisors, whose sum is σ = 34787630592. Its totient is φ = 1954368000.

The previous prime is 8632637971. The next prime is 8632638013. The reversal of 8632638000 is 8362368.

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

It is a congruent number.

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, 16505739 + ... + 16506261.

Almost surely, 2^8632638000 is an apocalyptic number.

8632638000 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 8632638000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17393815296).

8632638000 is an abundant number, since it is smaller than the sum of its proper divisors (26154992592).

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

8632638000 is a wasteful number, since it uses less digits than its factorization.

8632638000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 8632638000 is about 92911.9906147748. The cubic root of 8632638000 is about 2051.3881535956.

The spelling of 8632638000 in words is "eight billion, six hundred thirty-two million, six hundred thirty-eight thousand".