6895374914340 has 432 divisors, whose sum is σ = 23709556241280. Its totient is φ = 1620107596800.

The previous prime is 6895374914317. The next prime is 6895374914369. The reversal of 6895374914340 is 434194735986.

6895374914340 is a `hidden beast` number, since 6 + 8 + 9 + 537 + 4 + 91 + 4 + 3 + 4 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 91198632 + ... + 91274208.

It is an arithmetic number, because the mean of its divisors is an integer number (54883232040).

Almost surely, 2^{6895374914340} is an apocalyptic number.

6895374914340 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 6895374914340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11854778120640).

6895374914340 is an abundant number, since it is smaller than the sum of its proper divisors (16814181326940).

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

6895374914340 is a wasteful number, since it uses less digits than its factorization.

6895374914340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75744 (or 75728 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 6895374914340 in words is "six trillion, eight hundred ninety-five billion, three hundred seventy-four million, nine hundred fourteen thousand, three hundred forty".