66064320 has 336 divisors, whose sum is σ = 271028160. Its totient is φ = 14450688.

The previous prime is 66064319. The next prime is 66064321. The reversal of 66064320 is 2346066.

66064320 = T₂₁₂₀ + T₂₁₂₁ + ... + T₂₁₄₈.

It is an interprime number because it is at equal distance from previous prime (66064319) and next prime (66064321).

It is a tau number, because it is divible by the number of its divisors (336).

It is a zygodrome in base 2 and base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66064321) 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, 584584 + ... + 584696.

Almost surely, 2^66064320 is an apocalyptic number.

66064320 is a gapful number since it is divisible by the number (60) 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 66064320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135514080).

66064320 is an abundant number, since it is smaller than the sum of its proper divisors (204963840).

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

66064320 is a wasteful number, since it uses less digits than its factorization.

66064320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 66064320 is about 8127.9960629912. The cubic root of 66064320 is about 404.2552385092.

It can be divided in two parts, 660 and 64320, that added together give a triangular number (64980 = T₃₆₀).

The spelling of 66064320 in words is "sixty-six million, sixty-four thousand, three hundred twenty".