66264893280 has 288 divisors, whose sum is σ = 235731656160. Its totient is φ = 16929669120.

The previous prime is 66264893273. The next prime is 66264893329. The reversal of 66264893280 is 8239846266.

66264893280 is a `hidden beast` number, since 6 + 626 + 4 + 8 + 9 + 3 + 2 + 8 + 0 = 666.

66264893280 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 (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5464504 + ... + 5476616.

It is an arithmetic number, because the mean of its divisors is an integer number (818512695).

Almost surely, 2^66264893280 is an apocalyptic number.

66264893280 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 66264893280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117865828080).

66264893280 is an abundant number, since it is smaller than the sum of its proper divisors (169466762880).

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

66264893280 is a wasteful number, since it uses less digits than its factorization.

66264893280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12294 (or 12283 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 66264893280 in words is "sixty-six billion, two hundred sixty-four million, eight hundred ninety-three thousand, two hundred eighty".