66245104800 has 720 divisors, whose sum is σ = 277692351552. Its totient is φ = 15116544000.

The previous prime is 66245104789. The next prime is 66245104859. The reversal of 66245104800 is 840154266.

66245104800 is a `hidden beast` number, since 6 + 62 + 4 + 510 + 4 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 110224500 + ... + 110225100.

Almost surely, 2^66245104800 is an apocalyptic number.

66245104800 is a gapful number since it is divisible by the number (60) 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 66245104800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138846175776).

66245104800 is an abundant number, since it is smaller than the sum of its proper divisors (211447246752).

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

66245104800 is an frugal number, since it uses more digits than its factorization.

66245104800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 66245104800 in words is "sixty-six billion, two hundred forty-five million, one hundred four thousand, eight hundred".