7892131968 has 320 divisors, whose sum is σ = 27576964800. Its totient is φ = 2193205248.

The previous prime is 7892131957. The next prime is 7892131987. The reversal of 7892131968 is 8691312987.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2683843 + ... + 2686781.

It is an arithmetic number, because the mean of its divisors is an integer number (86178015).

Almost surely, 2^7892131968 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 7892131968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13788482400).

7892131968 is an abundant number, since it is smaller than the sum of its proper divisors (19684832832).

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

7892131968 is a wasteful number, since it uses less digits than its factorization.

7892131968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3009 (or 2988 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 54.

The square root of 7892131968 is about 88837.6720091201. The cubic root of 7892131968 is about 1990.9702908634.

It can be divided in two parts, 78921 and 31968, that added together give a square (110889 = 333²).

The spelling of 7892131968 in words is "seven billion, eight hundred ninety-two million, one hundred thirty-one thousand, nine hundred sixty-eight".