7943712768 has 312 divisors, whose sum is σ = 24901688448. Its totient is φ = 2525478912.

The previous prime is 7943712767. The next prime is 7943712773. The reversal of 7943712768 is 8672173497.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7943712767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22892371 + ... + 22892717.

It is an arithmetic number, because the mean of its divisors is an integer number (79813104).

Almost surely, 2^7943712768 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 7943712768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12450844224).

7943712768 is an abundant number, since it is smaller than the sum of its proper divisors (16957975680).

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

7943712768 is an equidigital number, since it uses as much as digits as its factorization.

7943712768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 375 counting only the distinct ones).

The product of its digits is 3556224, while the sum is 54.

The square root of 7943712768 is about 89127.5084808276. The cubic root of 7943712768 is about 1995.2983532533.

The spelling of 7943712768 in words is "seven billion, nine hundred forty-three million, seven hundred twelve thousand, seven hundred sixty-eight".