7927168320 has 168 divisors, whose sum is σ = 27390644736. Its totient is φ = 2104261632.

The previous prime is 7927168313. The next prime is 7927168349. The reversal of 7927168320 is 238617297.

It is a super-2 number, since 2×7927168320² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 636069 + ... + 648411.

It is an arithmetic number, because the mean of its divisors is an integer number (163039552).

Almost surely, 2^7927168320 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 7927168320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13695322368).

7927168320 is an abundant number, since it is smaller than the sum of its proper divisors (19463476416).

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

7927168320 is a wasteful number, since it uses less digits than its factorization.

7927168320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12589 (or 12576 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 7927168320 is about 89034.6467393452. The cubic root of 7927168320 is about 1993.9121813675.

The spelling of 7927168320 in words is "seven billion, nine hundred twenty-seven million, one hundred sixty-eight thousand, three hundred twenty".