363374890560 has 1568 divisors, whose sum is σ = 1547131881600. Its totient is φ = 80263249920.

The previous prime is 363374890523. The next prime is 363374890573. The reversal of 363374890560 is 65098473363.

363374890560 is a `hidden beast` number, since 3 + 6 + 3 + 3 + 74 + 8 + 9 + 0 + 560 = 666.

It is a super-2 number, since 2×363374890560² (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 363374890497 and 363374890506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1413909952 + ... + 1413910208.

Almost surely, 2^363374890560 is an apocalyptic number.

363374890560 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 363374890560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773565940800).

363374890560 is an abundant number, since it is smaller than the sum of its proper divisors (1183756991040).

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

363374890560 is a wasteful number, since it uses less digits than its factorization.

363374890560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 363374890560 in words is "three hundred sixty-three billion, three hundred seventy-four million, eight hundred ninety thousand, five hundred sixty".