368198496207360 has 2400 divisors, whose sum is σ = 1686428431047360. Its totient is φ = 73594377142272.

The previous prime is 368198496207337. The next prime is 368198496207361. The reversal of 368198496207360 is 63702694891863.

368198496207360 is a `hidden beast` number, since 3 + 6 + 8 + 1 + 9 + 8 + 496 + 2 + 0 + 73 + 60 = 666.

It is a super-2 number, since 2×368198496207360² (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 (368198496207361) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 13663789407 + ... + 13663816353.

Almost surely, 2^{368198496207360} is an apocalyptic number.

368198496207360 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 368198496207360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843214215523680).

368198496207360 is an abundant number, since it is smaller than the sum of its proper divisors (1318229934840000).

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

368198496207360 is a wasteful number, since it uses less digits than its factorization.

368198496207360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27036 (or 26996 counting only the distinct ones).

The product of its (nonzero) digits is 564350976, while the sum is 72.

The spelling of 368198496207360 in words is "three hundred sixty-eight trillion, one hundred ninety-eight billion, four hundred ninety-six million, two hundred seven thousand, three hundred sixty".