7921743648 has 96 divisors (see below), whose sum is σ = 25593353856. Its totient is φ = 2089248768.

The previous prime is 7921743631. The next prime is 7921743659. The reversal of 7921743648 is 8463471297.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 7921743648.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 444661 + ... + 462132.

It is an arithmetic number, because the mean of its divisors is an integer number (266597436).

Almost surely, 2^7921743648 is an apocalyptic number.

7921743648 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

7921743648 is an abundant number, since it is smaller than the sum of its proper divisors (17671610208).

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

7921743648 is a wasteful number, since it uses less digits than its factorization.

7921743648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906826 (or 906818 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 51.

The square root of 7921743648 is about 89004.1776997013. The cubic root of 7921743648 is about 1993.4572569298.

The spelling of 7921743648 in words is "seven billion, nine hundred twenty-one million, seven hundred forty-three thousand, six hundred forty-eight".