66210220314 has 192 divisors, whose sum is σ = 181608894720. Its totient is φ = 17766604800.

The previous prime is 66210220301. The next prime is 66210220337. The reversal of 66210220314 is 41302201266.

66210220314 is a `hidden beast` number, since 6 + 621 + 0 + 2 + 2 + 0 + 31 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25953339 + ... + 25955889.

It is an arithmetic number, because the mean of its divisors is an integer number (945879660).

Almost surely, 2^66210220314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66210220314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90804447360).

66210220314 is an abundant number, since it is smaller than the sum of its proper divisors (115398674406).

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

66210220314 is a wasteful number, since it uses less digits than its factorization.

66210220314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3170 (or 3157 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 66210220314 in words is "sixty-six billion, two hundred ten million, two hundred twenty thousand, three hundred fourteen".