367878066716160 has 5760 divisors, whose sum is σ = 1830461592960000. Its totient is φ = 68865868431360.

The previous prime is 367878066716143. The next prime is 367878066716179. The reversal of 367878066716160 is 61617660878763.

367878066716160 is a `hidden beast` number, since 367 + 8 + 7 + 80 + 6 + 6 + 71 + 61 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (72).

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 575 ways as a sum of consecutive naturals, for example, 294538083216 + ... + 294538084464.

It is an arithmetic number, because the mean of its divisors is an integer number (317788471000).

Almost surely, 2^{367878066716160} is an apocalyptic number.

367878066716160 is a gapful number since it is divisible by the number (30) 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 367878066716160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915230796480000).

367878066716160 is an abundant number, since it is smaller than the sum of its proper divisors (1462583526243840).

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

367878066716160 is a wasteful number, since it uses less digits than its factorization.

367878066716160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1372 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 512096256, while the sum is 72.

The spelling of 367878066716160 in words is "three hundred sixty-seven trillion, eight hundred seventy-eight billion, sixty-six million, seven hundred sixteen thousand, one hundred sixty".