6744975804336 has 1920 divisors, whose sum is σ = 25596898836480. Its totient is φ = 1480550400000.

The previous prime is 6744975804311. The next prime is 6744975804349. The reversal of 6744975804336 is 6334085794476.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 44668713861 + ... + 44668714011.

It is an arithmetic number, because the mean of its divisors is an integer number (13331718144).

Almost surely, 2^{6744975804336} is an apocalyptic number.

6744975804336 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6744975804336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12798449418240).

6744975804336 is an abundant number, since it is smaller than the sum of its proper divisors (18851923032144).

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

6744975804336 is a wasteful number, since it uses less digits than its factorization.

6744975804336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 365783040, while the sum is 66.

The spelling of 6744975804336 in words is "six trillion, seven hundred forty-four billion, nine hundred seventy-five million, eight hundred four thousand, three hundred thirty-six".