368090100817920 has 1568 divisors, whose sum is σ = 1447708029782112. Its totient is φ = 89248147439616.

The previous prime is 368090100817903. The next prime is 368090100817939. The reversal of 368090100817920 is 29718001090863.

368090100817920 is a `hidden beast` number, since 368 + 0 + 9 + 0 + 100 + 8 + 179 + 2 + 0 = 666.

It is a super-3 number, since 3×368090100817920³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 26007913564 + ... + 26007927716.

It is an arithmetic number, because the mean of its divisors is an integer number (923283182259).

Almost surely, 2^{368090100817920} is an apocalyptic number.

368090100817920 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 368090100817920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723854014891056).

368090100817920 is an abundant number, since it is smaller than the sum of its proper divisors (1079617928964192).

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

368090100817920 is an equidigital number, since it uses as much as digits as its factorization.

368090100817920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14282 (or 14243 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 368090100817920 in words is "three hundred sixty-eight trillion, ninety billion, one hundred million, eight hundred seventeen thousand, nine hundred twenty".