7988601618816 has 512 divisors, whose sum is σ = 26329788441600. Its totient is φ = 2102181838848.

The previous prime is 7988601618799. The next prime is 7988601618853. The reversal of 7988601618816 is 6188161068897.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3230326956 + ... + 3230329428.

It is an arithmetic number, because the mean of its divisors is an integer number (51425368050).

Almost surely, 2^{7988601618816} 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 7988601618816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13164894220800).

7988601618816 is an abundant number, since it is smaller than the sum of its proper divisors (18341186822784).

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

7988601618816 is a wasteful number, since it uses less digits than its factorization.

7988601618816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3083 (or 3045 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 69.

The spelling of 7988601618816 in words is "seven trillion, nine hundred eighty-eight billion, six hundred one million, six hundred eighteen thousand, eight hundred sixteen".