8101626624 has 432 divisors, whose sum is σ = 30454062912. Its totient is φ = 2010120192.

The previous prime is 8101626593. The next prime is 8101626683. The reversal of 8101626624 is 4266261018.

8101626624 is a `hidden beast` number, since 8 + 1 + 0 + 1 + 6 + 26 + 624 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3563152 + ... + 3565424.

It is an arithmetic number, because the mean of its divisors is an integer number (70495516).

Almost surely, 2^8101626624 is an apocalyptic number.

8101626624 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 8101626624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15227031456).

8101626624 is an abundant number, since it is smaller than the sum of its proper divisors (22352436288).

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

8101626624 is a wasteful number, since it uses less digits than its factorization.

8101626624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2332 (or 2315 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 8101626624 is about 90009.0363463580. The cubic root of 8101626624 is about 2008.4332752860.

The spelling of 8101626624 in words is "eight billion, one hundred one million, six hundred twenty-six thousand, six hundred twenty-four".