8660710656000 has 2304 divisors, whose sum is σ = 36238480125120. Its totient is φ = 1970484019200.

The previous prime is 8660710655969. The next prime is 8660710656011. The reversal of 8660710656000 is 6560170668.

8660710656000 is a `hidden beast` number, since 86 + 6 + 0 + 7 + 1 + 0 + 6 + 560 + 0 + 0 = 666.

It can be written as a sum of positive squares in 32 ways, for example, as 4267628798976 + 4393081857024 = 2065824^2 + 2095968^2 .

It is a tau number, because it is divible by the number of its divisors (2304).

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 191 ways as a sum of consecutive naturals, for example, 37170431884 + ... + 37170432116.

Almost surely, 2^{8660710656000} is an apocalyptic number.

8660710656000 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 8660710656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18119240062560).

8660710656000 is an abundant number, since it is smaller than the sum of its proper divisors (27577769469120).

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

8660710656000 is a wasteful number, since it uses less digits than its factorization.

8660710656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 8660710656000 in words is "eight trillion, six hundred sixty billion, seven hundred ten million, six hundred fifty-six thousand".