85668612624 has 240 divisors, whose sum is σ = 286631654400. Its totient is φ = 23354014464.

The previous prime is 85668612607. The next prime is 85668612629. The reversal of 85668612624 is 42621686658.

85668612624 is a `hidden beast` number, since 8 + 5 + 6 + 6 + 8 + 6 + 1 + 2 + 624 = 666.

It is a super-2 number, since 2×85668612624² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (85668612629) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9709687 + ... + 9718505.

It is an arithmetic number, because the mean of its divisors is an integer number (1194298560).

Almost surely, 2^85668612624 is an apocalyptic number.

85668612624 is a gapful number since it is divisible by the number (84) 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 85668612624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143315827200).

85668612624 is an abundant number, since it is smaller than the sum of its proper divisors (200963041776).

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

85668612624 is a wasteful number, since it uses less digits than its factorization.

85668612624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9282 (or 9273 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The spelling of 85668612624 in words is "eighty-five billion, six hundred sixty-eight million, six hundred twelve thousand, six hundred twenty-four".