7971538617 has 160 divisors (see below), whose sum is σ = 14719795200. Its totient is φ = 4203239040.

The previous prime is 7971538613. The next prime is 7971538657. The reversal of 7971538617 is 7168351797.

7971538617 is a `hidden beast` number, since 7 + 9 + 7 + 15 + 3 + 8 + 617 = 666.

It is not a de Polignac number, because 7971538617 - 2² = 7971538613 is a prime.

It is a super-3 number, since 3×7971538617³ (a number of 31 digits) contains 333 as substring.

Its product of digits (2222640) is a multiple of the sum of its prime divisors (336).

It is not an unprimeable number, because it can be changed into a prime (7971538613) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 40057884 + ... + 40058082.

It is an arithmetic number, because the mean of its divisors is an integer number (91998720).

Almost surely, 2^7971538617 is an apocalyptic number.

It is an amenable number.

7971538617 is a deficient number, since it is larger than the sum of its proper divisors (6748256583).

7971538617 is a wasteful number, since it uses less digits than its factorization.

7971538617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 336 counting only the distinct ones).

The product of its digits is 2222640, while the sum is 54.

The square root of 7971538617 is about 89283.4733699356. The cubic root of 7971538617 is about 1997.6253998362.

The spelling of 7971538617 in words is "seven billion, nine hundred seventy-one million, five hundred thirty-eight thousand, six hundred seventeen".