366722796686400 has 2520 divisors, whose sum is σ = 1773724804543296. Its totient is φ = 72190791475200.

The previous prime is 366722796686383. The next prime is 366722796686401. The reversal of 366722796686400 is 4686697227663.

366722796686400 is a `hidden beast` number, since 3 + 6 + 6 + 72 + 2 + 7 + 96 + 68 + 6 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2520).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (366722796686401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 3602440302 + ... + 3602542098.

Almost surely, 2^{366722796686400} is an apocalyptic number.

366722796686400 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 366722796686400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (886862402271648).

366722796686400 is an abundant number, since it is smaller than the sum of its proper divisors (1407002007856896).

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

366722796686400 is a wasteful number, since it uses less digits than its factorization.

366722796686400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101887 (or 101844 counting only the distinct ones).

The product of its (nonzero) digits is 1316818944, while the sum is 72.

The spelling of 366722796686400 in words is "three hundred sixty-six trillion, seven hundred twenty-two billion, seven hundred ninety-six million, six hundred eighty-six thousand, four hundred".