7459821688368 has 640 divisors, whose sum is σ = 23179960387584. Its totient is φ = 2023509196800.

The previous prime is 7459821688351. The next prime is 7459821688379. The reversal of 7459821688368 is 8638861289547.

It is a self number, because there is not a number n which added to its sum of digits gives 7459821688368.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 32016401980 + ... + 32016402212.

Almost surely, 2^{7459821688368} 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 7459821688368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11589980193792).

7459821688368 is an abundant number, since it is smaller than the sum of its proper divisors (15720138699216).

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

7459821688368 is a wasteful number, since it uses less digits than its factorization.

7459821688368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 687 counting only the distinct ones).

The product of its digits is 1114767360, while the sum is 75.

The spelling of 7459821688368 in words is "seven trillion, four hundred fifty-nine billion, eight hundred twenty-one million, six hundred eighty-eight thousand, three hundred sixty-eight".