7931113632 has 216 divisors, whose sum is σ = 25790863644. Its totient is φ = 2290286592.

The previous prime is 7931113607. The next prime is 7931113639. The reversal of 7931113632 is 2363111397.

7931113632 is a `hidden beast` number, since 7 + 9 + 3 + 1 + 1 + 13 + 632 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2855406096 + 5075707536 = 53436^2 + 71244^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7931113639) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22467568 + ... + 22467920.

Almost surely, 2^7931113632 is an apocalyptic number.

7931113632 is a gapful number since it is divisible by the number (72) 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 7931113632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12895431822).

7931113632 is an abundant number, since it is smaller than the sum of its proper divisors (17859750012).

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

7931113632 is a wasteful number, since it uses less digits than its factorization.

7931113632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 388 counting only the distinct ones).

The product of its digits is 20412, while the sum is 36.

The square root of 7931113632 is about 89056.8000323389. The cubic root of 7931113632 is about 1994.2429132103.

The spelling of 7931113632 in words is "seven billion, nine hundred thirty-one million, one hundred thirteen thousand, six hundred thirty-two".