7964668800 has 576 divisors, whose sum is σ = 32042949120. Its totient is φ = 1866240000.

The previous prime is 7964668787. The next prime is 7964668823. The reversal of 7964668800 is 88664697.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9820395 + ... + 9821205.

It is an arithmetic number, because the mean of its divisors is an integer number (55630120).

Almost surely, 2^7964668800 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 7964668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16021474560).

7964668800 is an abundant number, since it is smaller than the sum of its proper divisors (24078280320).

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

7964668800 is a wasteful number, since it uses less digits than its factorization.

7964668800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 7964668800 is about 89244.9931368701. The cubic root of 7964668800 is about 1997.0513883142.

The spelling of 7964668800 in words is "seven billion, nine hundred sixty-four million, six hundred sixty-eight thousand, eight hundred".