7998115928400 has 720 divisors, whose sum is σ = 31232818221696. Its totient is φ = 1880603873280.

The previous prime is 7998115928359. The next prime is 7998115928419. The reversal of 7998115928400 is 48295118997.

7998115928400 is a `hidden beast` number, since 7 + 9 + 98 + 115 + 9 + 28 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 857886139 + ... + 857895461.

Almost surely, 2^{7998115928400} 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 7998115928400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15616409110848).

7998115928400 is an abundant number, since it is smaller than the sum of its proper divisors (23234702293296).

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

7998115928400 is a wasteful number, since it uses less digits than its factorization.

7998115928400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10180 (or 10166 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 63.

The spelling of 7998115928400 in words is "seven trillion, nine hundred ninety-eight billion, one hundred fifteen million, nine hundred twenty-eight thousand, four hundred".