66286875300480 has 192 divisors, whose sum is σ = 228910939381800. Its totient is φ = 17675413291008.

The previous prime is 66286875300461. The next prime is 66286875300487. The reversal of 66286875300480 is 8400357868266.

66286875300480 is a `hidden beast` number, since 6 + 6 + 2 + 86 + 8 + 75 + 3 + 0 + 0 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 66094168348224 + 192706952256 = 8129832^2 + 438984^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (66286875300487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95598876 + ... + 96289764.

Almost surely, 2^{66286875300480} is an apocalyptic number.

66286875300480 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 66286875300480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114455469690900).

66286875300480 is an abundant number, since it is smaller than the sum of its proper divisors (162624064081320).

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

66286875300480 is a wasteful number, since it uses less digits than its factorization.

66286875300480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707571 (or 707556 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 66286875300480 in words is "sixty-six trillion, two hundred eighty-six billion, eight hundred seventy-five million, three hundred thousand, four hundred eighty".