7989188365312 has 352 divisors, whose sum is σ = 20214199019520. Its totient is φ = 3065610240000.

The previous prime is 7989188365231. The next prime is 7989188365337. The reversal of 7989188365312 is 2135638819897.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-3 number, since 3×7989188365312³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1901732812 + ... + 1901737012.

It is an arithmetic number, because the mean of its divisors is an integer number (57426701760).

Almost surely, 2^{7989188365312} 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 7989188365312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10107099509760).

7989188365312 is an abundant number, since it is smaller than the sum of its proper divisors (12225010654208).

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

7989188365312 is a wasteful number, since it uses less digits than its factorization.

7989188365312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4599 (or 4581 counting only the distinct ones).

The product of its digits is 156764160, while the sum is 70.

The spelling of 7989188365312 in words is "seven trillion, nine hundred eighty-nine billion, one hundred eighty-eight million, three hundred sixty-five thousand, three hundred twelve".