7867344131856 has 120 divisors (see below), whose sum is σ = 24794054388480. Its totient is φ = 2307139027200.

The previous prime is 7867344131771. The next prime is 7867344131863. The reversal of 7867344131856 is 6581314437687.

7867344131856 is a `hidden beast` number, since 7 + 8 + 6 + 7 + 3 + 441 + 3 + 185 + 6 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 7867344131793 and 7867344131802.

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 23 ways as a sum of consecutive naturals, for example, 80059891 + ... + 80158098.

It is an arithmetic number, because the mean of its divisors is an integer number (206617119904).

Almost surely, 2^{7867344131856} is an apocalyptic number.

It is an amenable number.

7867344131856 is an abundant number, since it is smaller than the sum of its proper divisors (16926710256624).

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

7867344131856 is a wasteful number, since it uses less digits than its factorization.

7867344131856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160218045 (or 160218036 counting only the distinct ones).

The product of its digits is 81285120, while the sum is 63.

The spelling of 7867344131856 in words is "seven trillion, eight hundred sixty-seven billion, three hundred forty-four million, one hundred thirty-one thousand, eight hundred fifty-six".