6872319993024 has 70 divisors (see below), whose sum is σ = 20371709377404. Its totient is φ = 2290773329280.

The previous prime is 6872319992987. The next prime is 6872319993037. The reversal of 6872319993024 is 4203999132786.

6872319993024 is a `hidden beast` number, since 6 + 8 + 7 + 2 + 319 + 9 + 9 + 302 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 662834322 + ... + 662844689.

Almost surely, 2^{6872319993024} is an apocalyptic number.

6872319993024 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

6872319993024 is an abundant number, since it is smaller than the sum of its proper divisors (13499389384380).

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

6872319993024 is a wasteful number, since it uses less digits than its factorization.

6872319993024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325679035 (or 1325679016 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 6872319993024 in words is "six trillion, eight hundred seventy-two billion, three hundred nineteen million, nine hundred ninety-three thousand, twenty-four".