8707130640 has 400 divisors, whose sum is σ = 33374957616. Its totient is φ = 2090188800.

The previous prime is 8707130609. The next prime is 8707130713. The reversal of 8707130640 is 460317078.

8707130640 is a `hidden beast` number, since 8 + 7 + 0 + 7 + 1 + 3 + 0 + 640 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5569338384 + 3137792256 = 74628^2 + 56016^2 .

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 = 8707130595 and 8707130604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3452580 + ... + 3455100.

It is the magic constant of a 2592 × 2592 magic square.

Almost surely, 2^8707130640 is an apocalyptic number.

8707130640 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 8707130640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16687478808).

8707130640 is an abundant number, since it is smaller than the sum of its proper divisors (24667826976).

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

8707130640 is a wasteful number, since it uses less digits than its factorization.

8707130640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2600 (or 2585 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 8707130640 is about 93312.0069444442. The cubic root of 8707130640 is about 2057.2718654213.

It can be divided in two parts, 87071 and 30640, that added together give a palindrome (117711).

The spelling of 8707130640 in words is "eight billion, seven hundred seven million, one hundred thirty thousand, six hundred forty".