366628204800 has 1728 divisors, whose sum is σ = 1626153419520. Its totient is φ = 79626240000.

The previous prime is 366628204799. The next prime is 366628204807. The reversal of 366628204800 is 8402826663.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (366628204807) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 914284600 + ... + 914285000.

Almost surely, 2^366628204800 is an apocalyptic number.

366628204800 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 366628204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813076709760).

366628204800 is an abundant number, since it is smaller than the sum of its proper divisors (1259525214720).

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

366628204800 is a wasteful number, since it uses less digits than its factorization.

366628204800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 366628204800 in words is "three hundred sixty-six billion, six hundred twenty-eight million, two hundred four thousand, eight hundred".