7993680912 has 480 divisors, whose sum is σ = 28964812800. Its totient is φ = 2061759744.

The previous prime is 7993680887. The next prime is 7993680913. The reversal of 7993680912 is 2190863997.

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

It is not an unprimeable number, because it can be changed into a prime (7993680913) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30394093 + ... + 30394355.

It is an arithmetic number, because the mean of its divisors is an integer number (60343360).

Almost surely, 2^7993680912 is an apocalyptic number.

7993680912 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 7993680912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14482406400).

7993680912 is an abundant number, since it is smaller than the sum of its proper divisors (20971131888).

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

7993680912 is a wasteful number, since it uses less digits than its factorization.

7993680912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The square root of 7993680912 is about 89407.3873457893. The cubic root of 7993680912 is about 1999.4732706236.

The spelling of 7993680912 in words is "seven billion, nine hundred ninety-three million, six hundred eighty thousand, nine hundred twelve".