66566098872 has 768 divisors, whose sum is σ = 246900326400. Its totient is φ = 15710008320.

The previous prime is 66566098847. The next prime is 66566098877. The reversal of 66566098872 is 27889066566.

66566098872 is a `hidden beast` number, since 66 + 566 + 0 + 9 + 8 + 8 + 7 + 2 = 666.

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 (66566098877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 181378833 + ... + 181379199.

It is an arithmetic number, because the mean of its divisors is an integer number (321484800).

Almost surely, 2^66566098872 is an apocalyptic number.

66566098872 is a gapful number since it is divisible by the number (62) 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 66566098872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123450163200).

66566098872 is an abundant number, since it is smaller than the sum of its proper divisors (180334227528).

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

66566098872 is a wasteful number, since it uses less digits than its factorization.

66566098872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 66566098872 in words is "sixty-six billion, five hundred sixty-six million, ninety-eight thousand, eight hundred seventy-two".