6839924085120 has 1024 divisors, whose sum is σ = 26644831027200. Its totient is φ = 1457794547712.

The previous prime is 6839924085091. The next prime is 6839924085143. The reversal of 6839924085120 is 215804299386.

It is a super-2 number, since 2×6839924085120² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 4726968237 + ... + 4726969683.

It is an arithmetic number, because the mean of its divisors is an integer number (26020342800).

Almost surely, 2^{6839924085120} is an apocalyptic number.

6839924085120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6839924085120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13322415513600).

6839924085120 is an abundant number, since it is smaller than the sum of its proper divisors (19804906942080).

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

6839924085120 is a wasteful number, since it uses less digits than its factorization.

6839924085120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1775 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 57.

The spelling of 6839924085120 in words is "six trillion, eight hundred thirty-nine billion, nine hundred twenty-four million, eighty-five thousand, one hundred twenty".