66090700800 has 234 divisors, whose sum is σ = 236725977722. Its totient is φ = 17623941120.

The previous prime is 66090700787. The next prime is 66090700817. The reversal of 66090700800 is 800709066.

It can be written as a sum of positive squares in 3 ways, for example, as 1077940224 + 65012760576 = 32832^2 + 254976^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 885744 + ... + 957456.

Almost surely, 2^66090700800 is an apocalyptic number.

66090700800 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 66090700800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118362988861).

66090700800 is an abundant number, since it is smaller than the sum of its proper divisors (170635276922).

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

66090700800 is a wasteful number, since it uses less digits than its factorization.

66090700800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71753 (or 71723 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 66090700800 in words is "sixty-six billion, ninety million, seven hundred thousand, eight hundred".