8712590120640 has 672 divisors, whose sum is σ = 34851853445760. Its totient is φ = 1956460953600.

The previous prime is 8712590120567. The next prime is 8712590120659. The reversal of 8712590120640 is 460210952178.

8712590120640 is a `hidden beast` number, since 8 + 7 + 1 + 2 + 590 + 12 + 0 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×8712590120640² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1157200396 + ... + 1157207924.

Almost surely, 2^{8712590120640} is an apocalyptic number.

8712590120640 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 8712590120640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17425926722880).

8712590120640 is an abundant number, since it is smaller than the sum of its proper divisors (26139263325120).

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

8712590120640 is a wasteful number, since it uses less digits than its factorization.

8712590120640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8561 (or 8548 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 8712590120640 in words is "eight trillion, seven hundred twelve billion, five hundred ninety million, one hundred twenty thousand, six hundred forty".