66090366720 has 576 divisors, whose sum is σ = 269329213440. Its totient is φ = 15033434112.

The previous prime is 66090366679. The next prime is 66090366721. The reversal of 66090366720 is 2766309066.

66090366720 is a `hidden beast` number, since 6 + 609 + 0 + 36 + 6 + 7 + 2 + 0 = 666.

66090366720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66090366721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62172909 + ... + 62173971.

It is an arithmetic number, because the mean of its divisors is an integer number (467585440).

Almost surely, 2^66090366720 is an apocalyptic number.

66090366720 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 66090366720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134664606720).

66090366720 is an abundant number, since it is smaller than the sum of its proper divisors (203238846720).

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

66090366720 is a wasteful number, since it uses less digits than its factorization.

66090366720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1357 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 66090366720 in words is "sixty-six billion, ninety million, three hundred sixty-six thousand, seven hundred twenty".