66562274016 has 192 divisors, whose sum is σ = 224073077760. Its totient is φ = 18829324800.

The previous prime is 66562274003. The next prime is 66562274027. The reversal of 66562274016 is 61047226566.

66562274016 is a `hidden beast` number, since 6 + 6 + 5 + 622 + 7 + 4 + 0 + 16 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 556365 + ... + 665331.

It is an arithmetic number, because the mean of its divisors is an integer number (1167047280).

Almost surely, 2^66562274016 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 66562274016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112036538880).

66562274016 is an abundant number, since it is smaller than the sum of its proper divisors (157510803744).

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

66562274016 is a wasteful number, since it uses less digits than its factorization.

66562274016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109094 (or 109080 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 66562274016 in words is "sixty-six billion, five hundred sixty-two million, two hundred seventy-four thousand, sixteen".