66591747360 has 288 divisors, whose sum is σ = 233263845360. Its totient is φ = 17289216000.

The previous prime is 66591747307. The next prime is 66591747367. The reversal of 66591747360 is 6374719566.

It is a happy number.

66591747360 is a `hidden beast` number, since 6 + 6 + 591 + 7 + 47 + 3 + 6 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 44246281104 + 22345466256 = 210348^2 + 149484^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 66591747297 and 66591747306.

It is not an unprimeable number, because it can be changed into a prime (66591747367) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41386236 + ... + 41387844.

Almost surely, 2^66591747360 is an apocalyptic number.

66591747360 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 66591747360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116631922680).

66591747360 is an abundant number, since it is smaller than the sum of its proper divisors (166672098000).

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

66591747360 is a wasteful number, since it uses less digits than its factorization.

66591747360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2372 (or 2361 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 66591747360 in words is "sixty-six billion, five hundred ninety-one million, seven hundred forty-seven thousand, three hundred sixty".