368649580335660 has 480 divisors, whose sum is σ = 1262449638438912. Its totient is φ = 89512461642240.

The previous prime is 368649580335623. The next prime is 368649580335661. The reversal of 368649580335660 is 66533085946863.

It is a happy number.

368649580335660 is a `hidden beast` number, since 3 + 6 + 8 + 6 + 4 + 9 + 58 + 0 + 3 + 3 + 566 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (368649580335661) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 460329549 + ... + 461129691.

Almost surely, 2^{368649580335660} is an apocalyptic number.

368649580335660 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 368649580335660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631224819219456).

368649580335660 is an abundant number, since it is smaller than the sum of its proper divisors (893800058103252).

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

368649580335660 is a wasteful number, since it uses less digits than its factorization.

368649580335660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800475 (or 800464 counting only the distinct ones).

The product of its (nonzero) digits is 2015539200, while the sum is 72.

The spelling of 368649580335660 in words is "three hundred sixty-eight trillion, six hundred forty-nine billion, five hundred eighty million, three hundred thirty-five thousand, six hundred sixty".