7704882139968 has 140 divisors (see below), whose sum is σ = 24596583397540. Its totient is φ = 2370732945408.

The previous prime is 7704882139963. The next prime is 7704882139979. The reversal of 7704882139968 is 8699312884077.

7704882139968 is a `hidden beast` number, since 7 + 7 + 0 + 488 + 2 + 139 + 9 + 6 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3736148799744 + 3968733340224 = 1932912^2 + 1992168^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 7704882139896 and 7704882139905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7704882139963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 57097273 + ... + 57232056.

It is an arithmetic number, because the mean of its divisors is an integer number (175689881411).

Almost surely, 2^{7704882139968} is an apocalyptic number.

7704882139968 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

7704882139968 is an abundant number, since it is smaller than the sum of its proper divisors (16891701257572).

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

7704882139968 is a wasteful number, since it uses less digits than its factorization.

7704882139968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114329366 (or 114329347 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 72.

The spelling of 7704882139968 in words is "seven trillion, seven hundred four billion, eight hundred eighty-two million, one hundred thirty-nine thousand, nine hundred sixty-eight".