7998998910400 has 168 divisors, whose sum is σ = 20189858328864. Its totient is φ = 3117340262400.

The previous prime is 7998998910391. The next prime is 7998998910437. The reversal of 7998998910400 is 40198998997.

It is a super-3 number, since 3×7998998910400³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48658744 + ... + 48822856.

It is an arithmetic number, because the mean of its divisors is an integer number (120177728148).

Almost surely, 2^{7998998910400} 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 7998998910400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10094929164432).

7998998910400 is an abundant number, since it is smaller than the sum of its proper divisors (12190859418464).

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

7998998910400 is a wasteful number, since it uses less digits than its factorization.

7998998910400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164919 (or 164904 counting only the distinct ones).

The product of its (nonzero) digits is 105815808, while the sum is 73.

The spelling of 7998998910400 in words is "seven trillion, nine hundred ninety-eight billion, nine hundred ninety-eight million, nine hundred ten thousand, four hundred".