7964012800 has 162 divisors, whose sum is σ = 20211246762. Its totient is φ = 3106897920.

The previous prime is 7964012767. The next prime is 7964012813. The reversal of 7964012800 is 82104697.

It can be written as a sum of positive squares in 3 ways, for example, as 208744704 + 7755268096 = 14448^2 + 88064^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 7964012800.

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 17 ways as a sum of consecutive naturals, for example, 11833264 + ... + 11833936.

Almost surely, 2^7964012800 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 7964012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10105623381).

7964012800 is an abundant number, since it is smaller than the sum of its proper divisors (12247233962).

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

7964012800 is an equidigital number, since it uses as much as digits as its factorization.

7964012800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 7964012800 is about 89241.3177849812. The cubic root of 7964012800 is about 1996.9965585943.

The spelling of 7964012800 in words is "seven billion, nine hundred sixty-four million, twelve thousand, eight hundred".