7969791312 has 160 divisors (see below), whose sum is σ = 26752732160. Its totient is φ = 2224091520.

The previous prime is 7969791311. The next prime is 7969791377. The reversal of 7969791312 is 2131979697.

It is a happy number.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7969791311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99387 + ... + 160677.

It is an arithmetic number, because the mean of its divisors is an integer number (167204576).

Almost surely, 2^7969791312 is an apocalyptic number.

7969791312 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 7969791312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13376366080).

7969791312 is an abundant number, since it is smaller than the sum of its proper divisors (18782940848).

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

7969791312 is a wasteful number, since it uses less digits than its factorization.

7969791312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61358 (or 61346 counting only the distinct ones).

The product of its digits is 1285956, while the sum is 54.

The square root of 7969791312 is about 89273.6876800774. The cubic root of 7969791312 is about 1997.4794340414.

The spelling of 7969791312 in words is "seven billion, nine hundred sixty-nine million, seven hundred ninety-one thousand, three hundred twelve".