7944192000000 has 756 divisors, whose sum is σ = 28753442263728. Its totient is φ = 2113536000000.

The previous prime is 7944191999981. The next prime is 7944192000061. The reversal of 7944192000000 is 2914497.

7944192000000 is a `hidden beast` number, since 7 + 9 + 441 + 9 + 200 + 0 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×7944192000000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 41 ways as a sum of consecutive naturals, for example, 18431999785 + ... + 18432000215.

It is an arithmetic number, because the mean of its divisors is an integer number (38033653788).

Almost surely, 2^{7944192000000} 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 7944192000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14376721131864).

7944192000000 is an abundant number, since it is smaller than the sum of its proper divisors (20809250263728).

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

7944192000000 is an frugal number, since it uses more digits than its factorization.

7944192000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

Adding to 7944192000000 its reverse (2914497), we get a palindrome (7944194914497).

The spelling of 7944192000000 in words is "seven trillion, nine hundred forty-four billion, one hundred ninety-two million", and thus it is an aban number.