7965426720 has 192 divisors, whose sum is σ = 25461596160. Its totient is φ = 2092981248.

The previous prime is 7965426701. The next prime is 7965426727. The reversal of 7965426720 is 276245697.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 7965426720.

It is not an unprimeable number, because it can be changed into a prime (7965426727) 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, 18144261 + ... + 18144699.

It is an arithmetic number, because the mean of its divisors is an integer number (132612480).

Almost surely, 2^7965426720 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 7965426720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12730798080).

7965426720 is an abundant number, since it is smaller than the sum of its proper divisors (17496169440).

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

7965426720 is a wasteful number, since it uses less digits than its factorization.

7965426720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The square root of 7965426720 is about 89249.2393244895. The cubic root of 7965426720 is about 1997.1147329520.

The spelling of 7965426720 in words is "seven billion, nine hundred sixty-five million, four hundred twenty-six thousand, seven hundred twenty".