66214313568 has 576 divisors, whose sum is σ = 227997504000. Its totient is φ = 18613131264.

The previous prime is 66214313519. The next prime is 66214313639. The reversal of 66214313568 is 86531341266.

66214313568 is a `hidden beast` number, since 6 + 62 + 14 + 3 + 13 + 568 = 666.

It is a congruent number.

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, 80454405 + ... + 80455227.

It is an arithmetic number, because the mean of its divisors is an integer number (395829000).

Almost surely, 2^66214313568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66214313568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113998752000).

66214313568 is an abundant number, since it is smaller than the sum of its proper divisors (161783190432).

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

66214313568 is a wasteful number, since it uses less digits than its factorization.

66214313568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916 (or 889 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 66214313568 in words is "sixty-six billion, two hundred fourteen million, three hundred thirteen thousand, five hundred sixty-eight".