363690566400 has 432 divisors, whose sum is σ = 1377312346368. Its totient is φ = 82790400000.

The previous prime is 363690566387. The next prime is 363690566417. The reversal of 363690566400 is 4665096363.

It is a super-4 number, since 4×363690566400⁴ (a number of 47 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 363690566400.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33729010 + ... + 33739790.

It is an arithmetic number, because the mean of its divisors is an integer number (3188223024).

Almost surely, 2^363690566400 is an apocalyptic number.

363690566400 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 363690566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688656173184).

363690566400 is an abundant number, since it is smaller than the sum of its proper divisors (1013621779968).

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

363690566400 is a wasteful number, since it uses less digits than its factorization.

363690566400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11068 (or 11049 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 48.

The spelling of 363690566400 in words is "three hundred sixty-three billion, six hundred ninety million, five hundred sixty-six thousand, four hundred".