6926412044160 has 768 divisors, whose sum is σ = 28229160960000. Its totient is φ = 1564068409344.

The previous prime is 6926412044159. The next prime is 6926412044161. The reversal of 6926412044160 is 614402146296.

6926412044160 is a `hidden beast` number, since 6 + 9 + 26 + 4 + 1 + 204 + 416 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6926412044159) and next prime (6926412044161).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6926412044161) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 163960321 + ... + 164002559.

It is an arithmetic number, because the mean of its divisors is an integer number (36756720000).

Almost surely, 2^{6926412044160} is an apocalyptic number.

6926412044160 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 6926412044160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14114580480000).

6926412044160 is an abundant number, since it is smaller than the sum of its proper divisors (21302748915840).

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

6926412044160 is a wasteful number, since it uses less digits than its factorization.

6926412044160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42368 (or 42339 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 6926412044160 in words is "six trillion, nine hundred twenty-six billion, four hundred twelve million, forty-four thousand, one hundred sixty".