6729856125120 has 560 divisors, whose sum is σ = 24710878041696. Its totient is φ = 1737455616000.

The previous prime is 6729856125089. The next prime is 6729856125149. The reversal of 6729856125120 is 215216589276.

6729856125120 is a `hidden beast` number, since 6 + 7 + 2 + 9 + 8 + 5 + 612 + 5 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 139192150 + ... + 139240490.

Almost surely, 2^{6729856125120} is an apocalyptic number.

6729856125120 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 6729856125120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12355439020848).

6729856125120 is an abundant number, since it is smaller than the sum of its proper divisors (17981021916576).

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

6729856125120 is a wasteful number, since it uses less digits than its factorization.

6729856125120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48542 (or 48523 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 6729856125120 in words is "six trillion, seven hundred twenty-nine billion, eight hundred fifty-six million, one hundred twenty-five thousand, one hundred twenty".