363693600564 has 96 divisors (see below), whose sum is σ = 996426977280. Its totient is φ = 101066942592.

The previous prime is 363693600559. The next prime is 363693600619. The reversal of 363693600564 is 465006396363.

It is a happy number.

It is a super-2 number, since 2×363693600564² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9077127 + ... + 9117105.

It is an arithmetic number, because the mean of its divisors is an integer number (10379447680).

Almost surely, 2^363693600564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 363693600564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498213488640).

363693600564 is an abundant number, since it is smaller than the sum of its proper divisors (632733376716).

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

363693600564 is a wasteful number, since it uses less digits than its factorization.

363693600564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42957 (or 42955 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 51.

The spelling of 363693600564 in words is "three hundred sixty-three billion, six hundred ninety-three million, six hundred thousand, five hundred sixty-four".