368823476090880 has 576 divisors, whose sum is σ = 1346401153843200. Its totient is φ = 93117765058560.

The previous prime is 368823476090879. The next prime is 368823476090887. The reversal of 368823476090880 is 88090674328863.

It is a happy number.

368823476090880 is a `hidden beast` number, since 3 + 6 + 8 + 8 + 2 + 3 + 4 + 7 + 609 + 0 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 368823476090799 and 368823476090808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368823476090887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2813855745 + ... + 2813986815.

It is an arithmetic number, because the mean of its divisors is an integer number (2337502003200).

Almost surely, 2^{368823476090880} is an apocalyptic number.

368823476090880 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 368823476090880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673200576921600).

368823476090880 is an abundant number, since it is smaller than the sum of its proper divisors (977577677752320).

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

368823476090880 is a wasteful number, since it uses less digits than its factorization.

368823476090880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132730 (or 132707 counting only the distinct ones).

The product of its (nonzero) digits is 668860416, while the sum is 72.

The spelling of 368823476090880 in words is "three hundred sixty-eight trillion, eight hundred twenty-three billion, four hundred seventy-six million, ninety thousand, eight hundred eighty".