6745536000000 has 1638 divisors, whose sum is σ = 28450562390640. Its totient is φ = 1535385600000.

The previous prime is 6745535999989. The next prime is 6745536000023. The reversal of 6745536000000 is 6355476.

6745536000000 is a `hidden beast` number, since 6 + 7 + 45 + 5 + 3 + 600 + 0 + 0 + 0 + 0 = 666.

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 125 ways as a sum of consecutive naturals, for example, 28223999881 + ... + 28224000119.

Almost surely, 2^{6745536000000} is an apocalyptic number.

6745536000000 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 6745536000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14225281195320).

6745536000000 is an abundant number, since it is smaller than the sum of its proper divisors (21705026390640).

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

6745536000000 is an frugal number, since it uses more digits than its factorization.

6745536000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 6745536000000 in words is "six trillion, seven hundred forty-five billion, five hundred thirty-six million", and thus it is an aban number.