368984566080 has 896 divisors, whose sum is σ = 1515811852800. Its totient is φ = 83703103488.

The previous prime is 368984566073. The next prime is 368984566133. The reversal of 368984566080 is 80665489863.

368984566080 is a `hidden beast` number, since 3 + 68 + 9 + 8 + 4 + 566 + 0 + 8 + 0 = 666.

It is a super-2 number, since 2×368984566080² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 368984565999 and 368984566017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 78958624 + ... + 78963296.

It is an arithmetic number, because the mean of its divisors is an integer number (1691754300).

Almost surely, 2^368984566080 is an apocalyptic number.

368984566080 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 368984566080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757905926400).

368984566080 is an abundant number, since it is smaller than the sum of its proper divisors (1146827286720).

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

368984566080 is a wasteful number, since it uses less digits than its factorization.

368984566080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4768 (or 4752 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 368984566080 in words is "three hundred sixty-eight billion, nine hundred eighty-four million, five hundred sixty-six thousand, eighty".