6744275408416 has 192 divisors, whose sum is σ = 17306819292672. Its totient is φ = 2510592786432.

The previous prime is 6744275408411. The next prime is 6744275408443. The reversal of 6744275408416 is 6148045724476.

It is not an unprimeable number, because it can be changed into a prime (6744275408411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 298844365 + ... + 298866931.

It is an arithmetic number, because the mean of its divisors is an integer number (90139683816).

Almost surely, 2^{6744275408416} 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 6744275408416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8653409646336).

6744275408416 is an abundant number, since it is smaller than the sum of its proper divisors (10562543884256).

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

6744275408416 is a wasteful number, since it uses less digits than its factorization.

6744275408416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28651 (or 28643 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 58.

The spelling of 6744275408416 in words is "six trillion, seven hundred forty-four billion, two hundred seventy-five million, four hundred eight thousand, four hundred sixteen".