6884319121920 has 120 divisors (see below), whose sum is σ = 23842333413756. Its totient is φ = 1835818426368.

The previous prime is 6884319121919. The next prime is 6884319121949. The reversal of 6884319121920 is 291219134886.

It is a happy number.

6884319121920 is a `hidden beast` number, since 6 + 8 + 8 + 431 + 9 + 12 + 192 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6711249809664 + 173069312256 = 2590608^2 + 416016^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 149376247 + ... + 149422326.

Almost surely, 2^{6884319121920} is an apocalyptic number.

6884319121920 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6884319121920 is an abundant number, since it is smaller than the sum of its proper divisors (16958014291836).

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

6884319121920 is a wasteful number, since it uses less digits than its factorization.

6884319121920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298798602 (or 298798583 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 6884319121920 in words is "six trillion, eight hundred eighty-four billion, three hundred nineteen million, one hundred twenty-one thousand, nine hundred twenty".