8691056640 has 408 divisors, whose sum is σ = 34514664288. Its totient is φ = 1981808640.

The previous prime is 8691056629. The next prime is 8691056681. The reversal of 8691056640 is 466501968.

8691056640 is a `hidden beast` number, since 86 + 9 + 1 + 0 + 566 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20643630 + ... + 20644050.

Almost surely, 2^8691056640 is an apocalyptic number.

8691056640 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 8691056640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17257332144).

8691056640 is an abundant number, since it is smaller than the sum of its proper divisors (25823607648).

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

8691056640 is an equidigital number, since it uses as much as digits as its factorization.

8691056640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 8691056640 is about 93225.8367621337. The cubic root of 8691056640 is about 2056.0051274936.

The spelling of 8691056640 in words is "eight billion, six hundred ninety-one million, fifty-six thousand, six hundred forty".