7946392080 has 320 divisors, whose sum is σ = 27975352320. Its totient is φ = 1848268800.

The previous prime is 7946392067. The next prime is 7946392121. The reversal of 7946392080 is 802936497.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20747569 + ... + 20747951.

It is an arithmetic number, because the mean of its divisors is an integer number (87422976).

Almost surely, 2^7946392080 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 7946392080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13987676160).

7946392080 is an abundant number, since it is smaller than the sum of its proper divisors (20028960240).

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

7946392080 is a wasteful number, since it uses less digits than its factorization.

7946392080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The square root of 7946392080 is about 89142.5379939342. The cubic root of 7946392080 is about 1995.5226575151.

The spelling of 7946392080 in words is "seven billion, nine hundred forty-six million, three hundred ninety-two thousand, eighty".