366166396800 has 1152 divisors, whose sum is σ = 1422043983360. Its totient is φ = 92943728640.

The previous prime is 366166396747. The next prime is 366166396801. The reversal of 366166396800 is 8693661663.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (366166396801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1571529484 + ... + 1571529716.

It is an arithmetic number, because the mean of its divisors is an integer number (1234413180).

Almost surely, 2^366166396800 is an apocalyptic number.

366166396800 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 366166396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711021991680).

366166396800 is an abundant number, since it is smaller than the sum of its proper divisors (1055877586560).

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

366166396800 is a wasteful number, since it uses less digits than its factorization.

366166396800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 366166396800 in words is "three hundred sixty-six billion, one hundred sixty-six million, three hundred ninety-six thousand, eight hundred".