6744405600000 has 432 divisors, whose sum is σ = 24928976630880. Its totient is φ = 1798502400000.

The previous prime is 6744405599993. The next prime is 6744405600017. The reversal of 6744405600000 is 65044476.

6744405600000 is a `hidden beast` number, since 6 + 7 + 4 + 4 + 40 + 5 + 600 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×6744405600000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21443880 + ... + 21756120.

Almost surely, 2^{6744405600000} is an apocalyptic number.

6744405600000 is a gapful number since it is divisible by the number (60) 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 6744405600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12464488315440).

6744405600000 is an abundant number, since it is smaller than the sum of its proper divisors (18184571030880).

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

6744405600000 is an frugal number, since it uses more digits than its factorization.

6744405600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312291 (or 312251 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 6744405600000 in words is "six trillion, seven hundred forty-four billion, four hundred five million, six hundred thousand".