66586214400 has 816 divisors, whose sum is σ = 249643069440. Its totient is φ = 15571353600.

The previous prime is 66586214371. The next prime is 66586214413. The reversal of 66586214400 is 441268566.

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, 2147942385 + ... + 2147942415.

Almost surely, 2^66586214400 is an apocalyptic number.

66586214400 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 66586214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124821534720).

66586214400 is an abundant number, since it is smaller than the sum of its proper divisors (183056855040).

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

66586214400 is a wasteful number, since it uses less digits than its factorization.

66586214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 66586214400 in words is "sixty-six billion, five hundred eighty-six million, two hundred fourteen thousand, four hundred".