6742259440 has 160 divisors (see below), whose sum is σ = 19467325440. Its totient is φ = 2119219200.

The previous prime is 6742259431. The next prime is 6742259441. The reversal of 6742259440 is 449522476.

It is a super-2 number, since 2×6742259440² = 90916124712538227200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6742259441) 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 31 ways as a sum of consecutive naturals, for example, 319620 + ... + 340060.

It is an arithmetic number, because the mean of its divisors is an integer number (121670784).

Almost surely, 2^6742259440 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 6742259440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9733662720).

6742259440 is an abundant number, since it is smaller than the sum of its proper divisors (12725066000).

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

6742259440 is a wasteful number, since it uses less digits than its factorization.

6742259440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20511 (or 20505 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 43.

The square root of 6742259440 is about 82111.2625648881. The cubic root of 6742259440 is about 1889.1588915276.

The spelling of 6742259440 in words is "six billion, seven hundred forty-two million, two hundred fifty-nine thousand, four hundred forty".