66682586880 has 1296 divisors, whose sum is σ = 299346334560. Its totient is φ = 14008909824.

The previous prime is 66682586843. The next prime is 66682586881. The reversal of 66682586880 is 8868528666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66682586881) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 286191244 + ... + 286191476.

It is an arithmetic number, because the mean of its divisors is an integer number (230977110).

Almost surely, 2^66682586880 is an apocalyptic number.

66682586880 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 66682586880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149673167280).

66682586880 is an abundant number, since it is smaller than the sum of its proper divisors (232663747680).

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

66682586880 is a wasteful number, since it uses less digits than its factorization.

66682586880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 66682586880 in words is "sixty-six billion, six hundred eighty-two million, five hundred eighty-six thousand, eight hundred eighty".