8456260680 has 320 divisors, whose sum is σ = 33178083840. Its totient is φ = 1891496448.

The previous prime is 8456260667. The next prime is 8456260699. The reversal of 8456260680 is 860626548.

8456260680 is a `hidden beast` number, since 8 + 4 + 562 + 6 + 0 + 6 + 80 = 666.

It is a super-2 number, since 2×8456260680² (a number of 21 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 79 ways as a sum of consecutive naturals, for example, 1061994 + ... + 1069926.

It is an arithmetic number, because the mean of its divisors is an integer number (103681512).

Almost surely, 2^8456260680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8456260680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16589041920).

8456260680 is an abundant number, since it is smaller than the sum of its proper divisors (24721823160).

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

8456260680 is a wasteful number, since it uses less digits than its factorization.

8456260680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8010 (or 7997 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 8456260680 is about 91957.9288587993. The cubic root of 8456260680 is about 2037.3209642577.

The spelling of 8456260680 in words is "eight billion, four hundred fifty-six million, two hundred sixty thousand, six hundred eighty".