7944135931872 has 192 divisors, whose sum is σ = 26753449443840. Its totient is φ = 2246353440768.

The previous prime is 7944135931859. The next prime is 7944135931877. The reversal of 7944135931872 is 2781395314497.

7944135931872 is a `hidden beast` number, since 7 + 9 + 441 + 3 + 5 + 9 + 3 + 187 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7944135931877) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6184038 + ... + 7357349.

It is an arithmetic number, because the mean of its divisors is an integer number (139340882520).

Almost surely, 2^{7944135931872} is an apocalyptic number.

7944135931872 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

7944135931872 is an abundant number, since it is smaller than the sum of its proper divisors (18809313511968).

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

7944135931872 is a wasteful number, since it uses less digits than its factorization.

7944135931872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13541510 (or 13541496 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 63.

The spelling of 7944135931872 in words is "seven trillion, nine hundred forty-four billion, one hundred thirty-five million, nine hundred thirty-one thousand, eight hundred seventy-two".