366612220800 has 1920 divisors, whose sum is σ = 1637658992640. Its totient is φ = 79009136640.

The previous prime is 366612220783. The next prime is 366612220813. The reversal of 366612220800 is 8022216663.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2886710337 + ... + 2886710463.

It is an arithmetic number, because the mean of its divisors is an integer number (852947392).

Almost surely, 2^366612220800 is an apocalyptic number.

366612220800 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 366612220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818829496320).

366612220800 is an abundant number, since it is smaller than the sum of its proper divisors (1271046771840).

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

366612220800 is a wasteful number, since it uses less digits than its factorization.

366612220800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 366612220800 in words is "three hundred sixty-six billion, six hundred twelve million, two hundred twenty thousand, eight hundred".