7744138117992 has 1536 divisors, whose sum is σ = 25699103539200. Its totient is φ = 2172751257600.

The previous prime is 7744138117979. The next prime is 7744138117997. The reversal of 7744138117992 is 2997118314477.

7744138117992 is a `hidden beast` number, since 7 + 7 + 441 + 38 + 1 + 1 + 79 + 92 = 666.

It is a super-2 number, since 2×7744138117992² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7744138117997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 60977465433 + ... + 60977465559.

It is an arithmetic number, because the mean of its divisors is an integer number (16731187200).

Almost surely, 2^{7744138117992} is an apocalyptic number.

7744138117992 is a gapful number since it is divisible by the number (72) 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 7744138117992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12849551769600).

7744138117992 is an abundant number, since it is smaller than the sum of its proper divisors (17954965421208).

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

7744138117992 is a wasteful number, since it uses less digits than its factorization.

7744138117992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 293 counting only the distinct ones).

The product of its digits is 21337344, while the sum is 63.

The spelling of 7744138117992 in words is "seven trillion, seven hundred forty-four billion, one hundred thirty-eight million, one hundred seventeen thousand, nine hundred ninety-two".