363413806800 has 480 divisors, whose sum is σ = 1300056791040. Its totient is φ = 86037811200.

The previous prime is 363413806793. The next prime is 363413806813. The reversal of 363413806800 is 8608314363.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 97506537 + ... + 97510263.

It is an arithmetic number, because the mean of its divisors is an integer number (2708451648).

Almost surely, 2^363413806800 is an apocalyptic number.

363413806800 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 363413806800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650028395520).

363413806800 is an abundant number, since it is smaller than the sum of its proper divisors (936642984240).

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

363413806800 is a wasteful number, since it uses less digits than its factorization.

363413806800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3931 (or 3920 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 363413806800 in words is "three hundred sixty-three billion, four hundred thirteen million, eight hundred six thousand, eight hundred".