7946638080 has 144 divisors (see below), whose sum is σ = 25737917184. Its totient is φ = 2089185280.

The previous prime is 7946638057. The next prime is 7946638093. The reversal of 7946638080 is 808366497.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 258067 + ... + 287213.

It is an arithmetic number, because the mean of its divisors is an integer number (178735536).

Almost surely, 2^7946638080 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 7946638080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12868958592).

7946638080 is an abundant number, since it is smaller than the sum of its proper divisors (17791279104).

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

7946638080 is a wasteful number, since it uses less digits than its factorization.

7946638080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29242 (or 29228 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The square root of 7946638080 is about 89143.9177958878. The cubic root of 7946638080 is about 1995.5432493973.

The spelling of 7946638080 in words is "seven billion, nine hundred forty-six million, six hundred thirty-eight thousand, eighty".