368983024058880 has 2880 divisors, whose sum is σ = 1661475008793600. Its totient is φ = 74809374474240.

The previous prime is 368983024058843. The next prime is 368983024058893. The reversal of 368983024058880 is 88850420389863.

368983024058880 is a `hidden beast` number, since 3 + 6 + 8 + 9 + 8 + 30 + 2 + 4 + 0 + 588 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×368983024058880² (a number of 30 digits) contains 22 as substring.

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 = 368983024058799 and 368983024058808.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 101844608749 + ... + 101844612371.

It is an arithmetic number, because the mean of its divisors is an integer number (576901044720).

Almost surely, 2^{368983024058880} is an apocalyptic number.

368983024058880 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 368983024058880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830737504396800).

368983024058880 is an abundant number, since it is smaller than the sum of its proper divisors (1292491984734720).

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

368983024058880 is a wasteful number, since it uses less digits than its factorization.

368983024058880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3875 (or 3849 counting only the distinct ones).

The product of its (nonzero) digits is 637009920, while the sum is 72.

The spelling of 368983024058880 in words is "three hundred sixty-eight trillion, nine hundred eighty-three billion, twenty-four million, fifty-eight thousand, eight hundred eighty".