7971149536 has 96 divisors (see below), whose sum is σ = 18610808832. Its totient is φ = 3288660480.

The previous prime is 7971149531. The next prime is 7971149551. The reversal of 7971149536 is 6359411797.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7971149531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1365055 + ... + 1370881.

It is an arithmetic number, because the mean of its divisors is an integer number (193862592).

Almost surely, 2^7971149536 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 7971149536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9305404416).

7971149536 is an abundant number, since it is smaller than the sum of its proper divisors (10639659296).

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

7971149536 is a wasteful number, since it uses less digits than its factorization.

7971149536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6072 (or 6064 counting only the distinct ones).

The product of its digits is 1428840, while the sum is 52.

The square root of 7971149536 is about 89281.2944350607. The cubic root of 7971149536 is about 1997.5928987607.

The spelling of 7971149536 in words is "seven billion, nine hundred seventy-one million, one hundred forty-nine thousand, five hundred thirty-six".