6739009376 has 144 divisors (see below), whose sum is σ = 15412230288. Its totient is φ = 2876083200.

The previous prime is 6739009349. The next prime is 6739009391.

6739009376 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22999886 + ... + 23000178.

It is an arithmetic number, because the mean of its divisors is an integer number (107029377).

Almost surely, 2^6739009376 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 6739009376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7706115144).

6739009376 is an abundant number, since it is smaller than the sum of its proper divisors (8673220912).

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

6739009376 is a wasteful number, since it uses less digits than its factorization.

6739009376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 1285956, while the sum is 50.

The square root of 6739009376 is about 82091.4695690119. The cubic root of 6739009376 is about 1888.8552903294.

The spelling of 6739009376 in words is "six billion, seven hundred thirty-nine million, nine thousand, three hundred seventy-six".