6132717360000 has 3840 divisors, whose sum is σ = 30314590225920. Its totient is φ = 1194393600000.

The previous prime is 6132717359959. The next prime is 6132717360001. The reversal of 6132717360000 is 637172316.

6132717360000 is a `hidden beast` number, since 6 + 1 + 32 + 7 + 17 + 3 + 600 + 0 + 0 = 666.

It is a super-2 number, since 2×6132717360000² (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 not an unprimeable number, because it can be changed into a prime (6132717360001) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 25446959880 + ... + 25446960120.

It is an arithmetic number, because the mean of its divisors is an integer number (7894424538).

Almost surely, 2^{6132717360000} is an apocalyptic number.

6132717360000 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 6132717360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15157295112960).

6132717360000 is an abundant number, since it is smaller than the sum of its proper divisors (24181872865920).

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

6132717360000 is a wasteful number, since it uses less digits than its factorization.

6132717360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The spelling of 6132717360000 in words is "six trillion, one hundred thirty-two billion, seven hundred seventeen million, three hundred sixty thousand".