7998350697120 has 1152 divisors, whose sum is σ = 30652088366592. Its totient is φ = 1746606489600.

The previous prime is 7998350697119. The next prime is 7998350697187. The reversal of 7998350697120 is 217960538997.

It is a super-2 number, since 2×7998350697120² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13487943544 + ... + 13487944136.

It is an arithmetic number, because the mean of its divisors is an integer number (26607715596).

Almost surely, 2^{7998350697120} is an apocalyptic number.

7998350697120 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 7998350697120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15326044183296).

7998350697120 is an abundant number, since it is smaller than the sum of its proper divisors (22653737669472).

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

7998350697120 is a wasteful number, since it uses less digits than its factorization.

7998350697120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 66.

The spelling of 7998350697120 in words is "seven trillion, nine hundred ninety-eight billion, three hundred fifty million, six hundred ninety-seven thousand, one hundred twenty".