7929342720 has 864 divisors, whose sum is σ = 32061137472. Its totient is φ = 1863254016.

The previous prime is 7929342703. The next prime is 7929342731. The reversal of 7929342720 is 272439297.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 149610214 + ... + 149610266.

It is an arithmetic number, because the mean of its divisors is an integer number (37107798).

Almost surely, 2^7929342720 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 7929342720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16030568736).

7929342720 is an abundant number, since it is smaller than the sum of its proper divisors (24131794752).

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

7929342720 is a wasteful number, since it uses less digits than its factorization.

7929342720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 7929342720 is about 89046.8568788365. The cubic root of 7929342720 is about 1994.0944728711.

The spelling of 7929342720 in words is "seven billion, nine hundred twenty-nine million, three hundred forty-two thousand, seven hundred twenty".