6078181887360 has 1920 divisors, whose sum is σ = 24890180515200. Its totient is φ = 1411299901440.

The previous prime is 6078181887341. The next prime is 6078181887373. The reversal of 6078181887360 is 637881818706.

6078181887360 is a `hidden beast` number, since 607 + 8 + 1 + 8 + 18 + 8 + 7 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 15625146046 + ... + 15625146434.

It is an arithmetic number, because the mean of its divisors is an integer number (12963635685).

Almost surely, 2^{6078181887360} is an apocalyptic number.

6078181887360 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 6078181887360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12445090257600).

6078181887360 is an abundant number, since it is smaller than the sum of its proper divisors (18811998627840).

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

6078181887360 is a wasteful number, since it uses less digits than its factorization.

6078181887360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 63.

The spelling of 6078181887360 in words is "six trillion, seventy-eight billion, one hundred eighty-one million, eight hundred eighty-seven thousand, three hundred sixty".