8007616672 has 48 divisors (see below), whose sum is σ = 17233020000. Its totient is φ = 3632451840.

The previous prime is 8007616663. The next prime is 8007616679. The reversal of 8007616672 is 2766167008.

It is not an unprimeable number, because it can be changed into a prime (8007616679) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 152854 + ... + 198442.

It is an arithmetic number, because the mean of its divisors is an integer number (359021250).

Almost surely, 2^8007616672 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 8007616672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8616510000).

8007616672 is an abundant number, since it is smaller than the sum of its proper divisors (9225403328).

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

8007616672 is a wasteful number, since it uses less digits than its factorization.

8007616672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46109 (or 46101 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 43.

The square root of 8007616672 is about 89485.2874611240. The cubic root of 8007616672 is about 2000.6345213367.

The spelling of 8007616672 in words is "eight billion, seven million, six hundred sixteen thousand, six hundred seventy-two".