7944689642736 has 320 divisors, whose sum is σ = 27803706163200. Its totient is φ = 1891884211200.

The previous prime is 7944689642719. The next prime is 7944689642761. The reversal of 7944689642736 is 6372469864497.

It is a Smith number, since the sum of its digits (75) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 352210 + ... + 4001678.

It is an arithmetic number, because the mean of its divisors is an integer number (86886581760).

Almost surely, 2^{7944689642736} is an apocalyptic number.

7944689642736 is a gapful number since it is divisible by the number (76) 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 7944689642736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13901853081600).

7944689642736 is an abundant number, since it is smaller than the sum of its proper divisors (19859016520464).

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

7944689642736 is a wasteful number, since it uses less digits than its factorization.

7944689642736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3649548 (or 3649542 counting only the distinct ones).

The product of its digits is 2633637888, while the sum is 75.

The spelling of 7944689642736 in words is "seven trillion, nine hundred forty-four billion, six hundred eighty-nine million, six hundred forty-two thousand, seven hundred thirty-six".