6870329781120 has 512 divisors, whose sum is σ = 26220547584000. Its totient is φ = 1690099458048.

The previous prime is 6870329781097. The next prime is 6870329781179. The reversal of 6870329781120 is 211879230786.

It is a happy number.

6870329781120 is a `hidden beast` number, since 68 + 70 + 329 + 78 + 1 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 395133067 + ... + 395150453.

It is an arithmetic number, because the mean of its divisors is an integer number (51212007000).

Almost surely, 2^{6870329781120} is an apocalyptic number.

6870329781120 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 6870329781120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13110273792000).

6870329781120 is an abundant number, since it is smaller than the sum of its proper divisors (19350217802880).

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

6870329781120 is a wasteful number, since it uses less digits than its factorization.

6870329781120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19187 (or 19169 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 6870329781120 in words is "six trillion, eight hundred seventy billion, three hundred twenty-nine million, seven hundred eighty-one thousand, one hundred twenty".