8700128640 has 384 divisors, whose sum is σ = 35072593920. Its totient is φ = 1945866240.

The previous prime is 8700128623. The next prime is 8700128651. The reversal of 8700128640 is 468210078.

8700128640 is a `hidden beast` number, since 8 + 7 + 0 + 0 + 1 + 2 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 8700128595 and 8700128604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1892745 + ... + 1897335.

It is an arithmetic number, because the mean of its divisors is an integer number (91334880).

Almost surely, 2^8700128640 is an apocalyptic number.

8700128640 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 8700128640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17536296960).

8700128640 is an abundant number, since it is smaller than the sum of its proper divisors (26372465280).

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

8700128640 is a wasteful number, since it uses less digits than its factorization.

8700128640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4670 (or 4655 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 8700128640 is about 93274.4801111215. The cubic root of 8700128640 is about 2056.7202531364.

The spelling of 8700128640 in words is "eight billion, seven hundred million, one hundred twenty-eight thousand, six hundred forty".