368841432960 has 3072 divisors, whose sum is σ = 1870823485440. Its totient is φ = 64408780800.

The previous prime is 368841432941. The next prime is 368841433003. The reversal of 368841432960 is 69234148863.

368841432960 is a `hidden beast` number, since 3 + 6 + 88 + 41 + 432 + 96 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 368841432897 and 368841432906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5194949725 + ... + 5194949795.

It is an arithmetic number, because the mean of its divisors is an integer number (608992020).

Almost surely, 2^368841432960 is an apocalyptic number.

368841432960 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 368841432960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (935411742720).

368841432960 is an abundant number, since it is smaller than the sum of its proper divisors (1501982052480).

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

368841432960 is a wasteful number, since it uses less digits than its factorization.

368841432960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 368841432960 in words is "three hundred sixty-eight billion, eight hundred forty-one million, four hundred thirty-two thousand, nine hundred sixty".