66084056064 has 528 divisors, whose sum is σ = 220313533440. Its totient is φ = 19647774720.

The previous prime is 66084055997. The next prime is 66084056069. The reversal of 66084056064 is 46065048066.

66084056064 is a `hidden beast` number, since 6 + 6 + 0 + 84 + 0 + 560 + 6 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66084056069) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100278967 + ... + 100279625.

It is an arithmetic number, because the mean of its divisors is an integer number (417260480).

Almost surely, 2^66084056064 is an apocalyptic number.

66084056064 is a gapful number since it is divisible by the number (64) 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 66084056064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110156766720).

66084056064 is an abundant number, since it is smaller than the sum of its proper divisors (154229477376).

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

66084056064 is a wasteful number, since it uses less digits than its factorization.

66084056064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 66084056064 in words is "sixty-six billion, eighty-four million, fifty-six thousand, sixty-four".