368404509836880 has 1280 divisors, whose sum is σ = 1459257081569280. Its totient is φ = 84610544025600.

The previous prime is 368404509836861. The next prime is 368404509836897. The reversal of 368404509836880 is 88638905404863.

368404509836880 is a `hidden beast` number, since 3 + 6 + 8 + 4 + 0 + 4 + 509 + 8 + 36 + 8 + 80 = 666.

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 = 368404509836799 and 368404509836808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 18850960389 + ... + 18850979931.

It is an arithmetic number, because the mean of its divisors is an integer number (1140044594976).

Almost surely, 2^{368404509836880} is an apocalyptic number.

368404509836880 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 368404509836880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729628540784640).

368404509836880 is an abundant number, since it is smaller than the sum of its proper divisors (1090852571732400).

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

368404509836880 is a wasteful number, since it uses less digits than its factorization.

368404509836880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20177 (or 20165 counting only the distinct ones).

The product of its (nonzero) digits is 955514880, while the sum is 72.

The spelling of 368404509836880 in words is "three hundred sixty-eight trillion, four hundred four billion, five hundred nine million, eight hundred thirty-six thousand, eight hundred eighty".