6744739133952 has 480 divisors, whose sum is σ = 20998206028800. Its totient is φ = 2077271433216.

The previous prime is 6744739133941. The next prime is 6744739133983. The reversal of 6744739133952 is 2593319374476.

6744739133952 is a `hidden beast` number, since 6 + 7 + 447 + 3 + 9 + 133 + 9 + 52 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 6744739133952.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4739801913 + ... + 4739803335.

It is an arithmetic number, because the mean of its divisors is an integer number (43746262560).

Almost surely, 2^{6744739133952} 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 6744739133952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10499103014400).

6744739133952 is an abundant number, since it is smaller than the sum of its proper divisors (14253466894848).

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

6744739133952 is a wasteful number, since it uses less digits than its factorization.

6744739133952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2768 (or 2749 counting only the distinct ones).

The product of its digits is 102876480, while the sum is 63.

The spelling of 6744739133952 in words is "six trillion, seven hundred forty-four billion, seven hundred thirty-nine million, one hundred thirty-three thousand, nine hundred fifty-two".