6868431832320 has 720 divisors, whose sum is σ = 25121287311120. Its totient is φ = 1791208194048.

The previous prime is 6868431832319. The next prime is 6868431832403. The reversal of 6868431832320 is 232381348686.

6868431832320 is a `hidden beast` number, since 68 + 6 + 84 + 3 + 183 + 2 + 320 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 267396546816 + 6601035285504 = 517104^2 + 2569248^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1851826626 + ... + 1851830334.

It is an arithmetic number, because the mean of its divisors is an integer number (34890676821).

Almost surely, 2^{6868431832320} is an apocalyptic number.

6868431832320 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 6868431832320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12560643655560).

6868431832320 is an abundant number, since it is smaller than the sum of its proper divisors (18252855478800).

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

6868431832320 is a wasteful number, since it uses less digits than its factorization.

6868431832320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4132 (or 4109 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 6868431832320 in words is "six trillion, eight hundred sixty-eight billion, four hundred thirty-one million, eight hundred thirty-two thousand, three hundred twenty".