7935412320 has 1152 divisors, whose sum is σ = 34749388800. Its totient is φ = 1678786560.

The previous prime is 7935412297. The next prime is 7935412351. The reversal of 7935412320 is 232145397.

7935412320 is a `hidden beast` number, since 7 + 93 + 541 + 2 + 3 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 168838537 + ... + 168838583.

It is an arithmetic number, because the mean of its divisors is an integer number (30164400).

Almost surely, 2^7935412320 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 7935412320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17374694400).

7935412320 is an abundant number, since it is smaller than the sum of its proper divisors (26813976480).

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

7935412320 is a wasteful number, since it uses less digits than its factorization.

7935412320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 7935412320 is about 89080.9312928418. The cubic root of 7935412320 is about 1994.6031434019.

The spelling of 7935412320 in words is "seven billion, nine hundred thirty-five million, four hundred twelve thousand, three hundred twenty".