365228456107680 has 1344 divisors, whose sum is σ = 1464470560143360. Its totient is φ = 85262197708800.

The previous prime is 365228456107649. The next prime is 365228456107709. The reversal of 365228456107680 is 86701654822563.

365228456107680 is a `hidden beast` number, since 3 + 6 + 5 + 2 + 2 + 8 + 4 + 5 + 610 + 7 + 6 + 8 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 3917074501 + ... + 3917167739.

It is an arithmetic number, because the mean of its divisors is an integer number (1089635833440).

Almost surely, 2^{365228456107680} is an apocalyptic number.

365228456107680 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 365228456107680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732235280071680).

365228456107680 is an abundant number, since it is smaller than the sum of its proper divisors (1099242104035680).

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

365228456107680 is a wasteful number, since it uses less digits than its factorization.

365228456107680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93397 (or 93374 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 365228456107680 in words is "three hundred sixty-five trillion, two hundred twenty-eight billion, four hundred fifty-six million, one hundred seven thousand, six hundred eighty".