6734816712000 has 896 divisors, whose sum is σ = 27468751564800. Its totient is φ = 1604302848000.

The previous prime is 6734816711993. The next prime is 6734816712047. The reversal of 6734816712000 is 2176184376.

It is a super-3 number, since 3×6734816712000³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 87009316 + ... + 87086684.

It is an arithmetic number, because the mean of its divisors is an integer number (30657088800).

Almost surely, 2^{6734816712000} is an apocalyptic number.

6734816712000 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 6734816712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13734375782400).

6734816712000 is an abundant number, since it is smaller than the sum of its proper divisors (20733934852800).

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

6734816712000 is a wasteful number, since it uses less digits than its factorization.

6734816712000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77449 (or 77423 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 6734816712000 in words is "six trillion, seven hundred thirty-four billion, eight hundred sixteen million, seven hundred twelve thousand".