6739141240900 has 144 divisors (see below), whose sum is σ = 15013228623120. Its totient is φ = 2624928768000.

The previous prime is 6739141240891. The next prime is 6739141240913. The reversal of 6739141240900 is 90421419376.

It can be written as a sum of positive squares in 24 ways, for example, as 4290598533376 + 2448542707524 = 2071376^2 + 1564782^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 455432302 + ... + 455447098.

It is an arithmetic number, because the mean of its divisors is an integer number (104258532105).

Almost surely, 2^{6739141240900} 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 6739141240900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7506614311560).

6739141240900 is an abundant number, since it is smaller than the sum of its proper divisors (8274087382220).

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

6739141240900 is a wasteful number, since it uses less digits than its factorization.

6739141240900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15674 (or 15667 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 46.

The spelling of 6739141240900 in words is "six trillion, seven hundred thirty-nine billion, one hundred forty-one million, two hundred forty thousand, nine hundred".