7994975788800 has 6480 divisors, whose sum is σ = 42289697286144. Its totient is φ = 1463132160000.

The previous prime is 7994975788741. The next prime is 7994975788829. The reversal of 7994975788800 is 88875794997.

It is a happy number.

7994975788800 is a `hidden beast` number, since 79 + 9 + 497 + 57 + 8 + 8 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6480).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 7994975788800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 112605292765 + ... + 112605292835.

Almost surely, 2^{7994975788800} is an apocalyptic number.

7994975788800 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7994975788800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21144848643072).

7994975788800 is an abundant number, since it is smaller than the sum of its proper divisors (34294721497344).

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

7994975788800 is a wasteful number, since it uses less digits than its factorization.

7994975788800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 2560481280, while the sum is 81.

The spelling of 7994975788800 in words is "seven trillion, nine hundred ninety-four billion, nine hundred seventy-five million, seven hundred eighty-eight thousand, eight hundred".