6750713736000 has 1344 divisors, whose sum is σ = 27621113135616. Its totient is φ = 1559126016000.

The previous prime is 6750713735981. The next prime is 6750713736001. The reversal of 6750713736000 is 6373170576.

It is a happy number.

6750713736000 is a `hidden beast` number, since 6 + 7 + 5 + 0 + 7 + 1 + 37 + 3 + 600 + 0 = 666.

It is a super-3 number, since 3×6750713736000³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6750713736001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9085751629 + ... + 9085752371.

It is an arithmetic number, because the mean of its divisors is an integer number (20551423464).

Almost surely, 2^{6750713736000} is an apocalyptic number.

6750713736000 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 6750713736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13810556567808).

6750713736000 is an abundant number, since it is smaller than the sum of its proper divisors (20870399399616).

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

6750713736000 is a wasteful number, since it uses less digits than its factorization.

6750713736000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1377 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 555660, while the sum is 45.

The spelling of 6750713736000 in words is "six trillion, seven hundred fifty billion, seven hundred thirteen million, seven hundred thirty-six thousand".