6740407296 has 264 divisors, whose sum is σ = 22414551744. Its totient is φ = 1911029760.

The previous prime is 6740407259. The next prime is 6740407313. The reversal of 6740407296 is 6927040476.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10515136 + ... + 10515776.

Almost surely, 2^6740407296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6740407296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11207275872).

6740407296 is an abundant number, since it is smaller than the sum of its proper divisors (15674144448).

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

6740407296 is a wasteful number, since it uses less digits than its factorization.

6740407296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 6740407296 is about 82099.9835322761. The cubic root of 6740407296 is about 1888.9858874684.

The spelling of 6740407296 in words is "six billion, seven hundred forty million, four hundred seven thousand, two hundred ninety-six".