7935128428096 has 63 divisors (see below), whose sum is σ = 15827221763451. Its totient is φ = 3947271007104.

The previous prime is 7935128428091. The next prime is 7935128428133. The reversal of 7935128428096 is 6908248215397.

The square root of 7935128428096 is 2816936.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7935128428091) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5025413035 + ... + 5025414613.

It is an arithmetic number, because the mean of its divisors is an integer number (251225742277).

It is a 1-persistent number, because it is pandigital, but 2⋅7935128428096 = 15870256856192 is not.

Almost surely, 2^{7935128428096} is an apocalyptic number.

7935128428096 is the 2816936-th square number.

It is an amenable number.

7935128428096 is a deficient number, since it is larger than the sum of its proper divisors (7892093335355).

7935128428096 is an frugal number, since it uses more digits than its factorization.

7935128428096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3616 (or 1804 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 64.

Multiplying 7935128428096 by its sum of digits (64), we get a square (507848219398144 = 22535488²).

7935128428096 divided by its sum of digits (64) gives a square (123986381689 = 352117²).

The spelling of 7935128428096 in words is "seven trillion, nine hundred thirty-five billion, one hundred twenty-eight million, four hundred twenty-eight thousand, ninety-six".