7946438304 has 96 divisors (see below), whose sum is σ = 23853312000. Its totient is φ = 2269078272.

The previous prime is 7946438303. The next prime is 7946438317. The reversal of 7946438304 is 4038346497.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (7946438303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2013357 + ... + 2017299.

It is an arithmetic number, because the mean of its divisors is an integer number (248472000).

Almost surely, 2^7946438304 is an apocalyptic number.

It is an amenable number.

7946438304 is an abundant number, since it is smaller than the sum of its proper divisors (15906873696).

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

7946438304 is a wasteful number, since it uses less digits than its factorization.

7946438304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6962 (or 6954 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The square root of 7946438304 is about 89142.7972637162. The cubic root of 7946438304 is about 1995.5265268124.

The spelling of 7946438304 in words is "seven billion, nine hundred forty-six million, four hundred thirty-eight thousand, three hundred four".