7971208164 has 96 divisors (see below), whose sum is σ = 21614503680. Its totient is φ = 2535667200.

The previous prime is 7971208159. The next prime is 7971208171. The reversal of 7971208164 is 4618021797.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1141644 + ... + 1148604.

It is an arithmetic number, because the mean of its divisors is an integer number (225151080).

Almost surely, 2^7971208164 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 7971208164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10807251840).

7971208164 is an abundant number, since it is smaller than the sum of its proper divisors (13643295516).

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

7971208164 is a wasteful number, since it uses less digits than its factorization.

7971208164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7458 (or 7450 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 7971208164 is about 89281.6227675102. The cubic root of 7971208164 is about 1997.5977961970.

The spelling of 7971208164 in words is "seven billion, nine hundred seventy-one million, two hundred eight thousand, one hundred sixty-four".