7998924286080 has 2560 divisors, whose sum is σ = 36784768204800. Its totient is φ = 1611117527040.

The previous prime is 7998924286057. The next prime is 7998924286127. The reversal of 7998924286080 is 806824298997.

7998924286080 is a `hidden beast` number, since 7 + 9 + 9 + 8 + 9 + 2 + 4 + 2 + 8 + 608 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 12137972791 + ... + 12137973449.

It is an arithmetic number, because the mean of its divisors is an integer number (14369050080).

Almost surely, 2^{7998924286080} is an apocalyptic number.

7998924286080 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 7998924286080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18392384102400).

7998924286080 is an abundant number, since it is smaller than the sum of its proper divisors (28785843918720).

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

7998924286080 is a wasteful number, since it uses less digits than its factorization.

7998924286080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 72.

The spelling of 7998924286080 in words is "seven trillion, nine hundred ninety-eight billion, nine hundred twenty-four million, two hundred eighty-six thousand, eighty".