6746637456 has 120 divisors (see below), whose sum is σ = 20399553720. Its totient is φ = 2069157888.

The previous prime is 6746637431. The next prime is 6746637463. The reversal of 6746637456 is 6547366476.

6746637456 is a `hidden beast` number, since 67 + 466 + 3 + 74 + 56 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9511056 + 6737126400 = 3084^2 + 82080^2 .

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, 587740 + ... + 599108.

It is an arithmetic number, because the mean of its divisors is an integer number (169996281).

Almost surely, 2^6746637456 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 6746637456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10199776860).

6746637456 is an abundant number, since it is smaller than the sum of its proper divisors (13652916264).

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

6746637456 is a wasteful number, since it uses less digits than its factorization.

6746637456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11713 (or 11704 counting only the distinct ones).

The product of its digits is 15240960, while the sum is 54.

The square root of 6746637456 is about 82137.9172855022. The cubic root of 6746637456 is about 1889.5677049426.

The spelling of 6746637456 in words is "six billion, seven hundred forty-six million, six hundred thirty-seven thousand, four hundred fifty-six".