368941740744960 has 576 divisors, whose sum is σ = 1349706472853760. Its totient is φ = 95373417185280.

The previous prime is 368941740744869. The next prime is 368941740744961. The reversal of 368941740744960 is 69447047149863.

368941740744960 is a `hidden beast` number, since 3 + 6 + 8 + 9 + 4 + 174 + 0 + 7 + 449 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×368941740744960² (a number of 30 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (368941740744961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 221633499 + ... + 223291941.

It is an arithmetic number, because the mean of its divisors is an integer number (2343240404260).

Almost surely, 2^{368941740744960} is an apocalyptic number.

368941740744960 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 368941740744960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674853236426880).

368941740744960 is an abundant number, since it is smaller than the sum of its proper divisors (980764732108800).

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

368941740744960 is a wasteful number, since it uses less digits than its factorization.

368941740744960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1658671 (or 1658651 counting only the distinct ones).

The product of its (nonzero) digits is 877879296, while the sum is 72.

The spelling of 368941740744960 in words is "three hundred sixty-eight trillion, nine hundred forty-one billion, seven hundred forty million, seven hundred forty-four thousand, nine hundred sixty".