7638937116744 has 256 divisors, whose sum is σ = 21030361620480. Its totient is φ = 2305078871040.

The previous prime is 7638937116709. The next prime is 7638937116779. The reversal of 7638937116744 is 4476117398367.

It is an interprime number because it is at equal distance from previous prime (7638937116709) and next prime (7638937116779).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 156443854 + ... + 156492674.

It is an arithmetic number, because the mean of its divisors is an integer number (82149850080).

Almost surely, 2^{7638937116744} is an apocalyptic number.

7638937116744 is a gapful number since it is divisible by the number (74) 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 7638937116744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10515180810240).

7638937116744 is an abundant number, since it is smaller than the sum of its proper divisors (13391424503736).

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

7638937116744 is a wasteful number, since it uses less digits than its factorization.

7638937116744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49100 (or 49096 counting only the distinct ones).

The product of its digits is 128024064, while the sum is 66.

The spelling of 7638937116744 in words is "seven trillion, six hundred thirty-eight billion, nine hundred thirty-seven million, one hundred sixteen thousand, seven hundred forty-four".