7964420122800 has 90 divisors (see below), whose sum is σ = 27638750177532. Its totient is φ = 2123845365120.

The previous prime is 7964420122793. The next prime is 7964420122877. The reversal of 7964420122800 is 82210244697.

7964420122800 is a `hidden beast` number, since 7 + 9 + 6 + 442 + 0 + 122 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (90).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1106165862 + ... + 1106173061.

Almost surely, 2^{7964420122800} is an apocalyptic number.

It is an amenable number.

7964420122800 is an abundant number, since it is smaller than the sum of its proper divisors (19674330054732).

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

7964420122800 is a wasteful number, since it uses less digits than its factorization.

7964420122800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2212338947 (or 2212338933 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 7964420122800 in words is "seven trillion, nine hundred sixty-four billion, four hundred twenty million, one hundred twenty-two thousand, eight hundred".