8537845680 has 480 divisors, whose sum is σ = 35487728640. Its totient is φ = 1791313920.

The previous prime is 8537845661. The next prime is 8537845697. The reversal of 8537845680 is 865487358.

8537845680 is a `hidden beast` number, since 8 + 5 + 3 + 78 + 4 + 568 + 0 = 666.

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, 20376511 + ... + 20376929.

It is an arithmetic number, because the mean of its divisors is an integer number (73932768).

Almost surely, 2^8537845680 is an apocalyptic number.

8537845680 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 8537845680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17743864320).

8537845680 is an abundant number, since it is smaller than the sum of its proper divisors (26949882960).

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

8537845680 is a wasteful number, since it uses less digits than its factorization.

8537845680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The square root of 8537845680 is about 92400.4636352004. The cubic root of 8537845680 is about 2043.8519493514.

The spelling of 8537845680 in words is "eight billion, five hundred thirty-seven million, eight hundred forty-five thousand, six hundred eighty".