363680363004 has 96 divisors (see below), whose sum is σ = 987447132672. Its totient is φ = 102025440000.

The previous prime is 363680362933. The next prime is 363680363009. The reversal of 363680363004 is 400363086363.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (363680363009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2863654 + ... + 2987954.

It is an arithmetic number, because the mean of its divisors is an integer number (10285907632).

Almost surely, 2^363680363004 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 363680363004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493723566336).

363680363004 is an abundant number, since it is smaller than the sum of its proper divisors (623766769668).

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

363680363004 is a wasteful number, since it uses less digits than its factorization.

363680363004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124947 (or 124945 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 42.

The spelling of 363680363004 in words is "three hundred sixty-three billion, six hundred eighty million, three hundred sixty-three thousand, four".