8638868700 has 792 divisors, whose sum is σ = 36903054720. Its totient is φ = 1700611200.

The previous prime is 8638868671. The next prime is 8638868729. The reversal of 8638868700 is 78688368.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8638868671) and next prime (8638868729).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 263 ways as a sum of consecutive naturals, for example, 454677291 + ... + 454677309.

Almost surely, 2^8638868700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8638868700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18451527360).

8638868700 is an abundant number, since it is smaller than the sum of its proper divisors (28264186020).

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

8638868700 is a wasteful number, since it uses less digits than its factorization.

8638868700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 8638868700 is about 92945.5146846796. The cubic root of 8638868700 is about 2051.8815721126.

The spelling of 8638868700 in words is "eight billion, six hundred thirty-eight million, eight hundred sixty-eight thousand, seven hundred".