6926375779440 has 640 divisors, whose sum is σ = 23822195281920. Its totient is φ = 1654460645376.

The previous prime is 6926375779429. The next prime is 6926375779471. The reversal of 6926375779440 is 449775736296.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3357427849 + ... + 3357429911.

It is an arithmetic number, because the mean of its divisors is an integer number (37222180128).

Almost surely, 2^{6926375779440} is an apocalyptic number.

6926375779440 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 6926375779440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11911097640960).

6926375779440 is an abundant number, since it is smaller than the sum of its proper divisors (16895819502480).

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

6926375779440 is a wasteful number, since it uses less digits than its factorization.

6926375779440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2401 (or 2395 counting only the distinct ones).

The product of its (nonzero) digits is 480090240, while the sum is 69.

The spelling of 6926375779440 in words is "six trillion, nine hundred twenty-six billion, three hundred seventy-five million, seven hundred seventy-nine thousand, four hundred forty".