66964800 has 168 divisors, whose sum is σ = 251212096. Its totient is φ = 15298560.

The previous prime is 66964789. The next prime is 66964813. The reversal of 66964800 is 846966.

It is a tau number, because it is divible by the number of its divisors (168).

It is a hoax number, since the sum of its digits (39) 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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32604 + ... + 34596.

Almost surely, 2^66964800 is an apocalyptic number.

66964800 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 66964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125606048).

66964800 is an abundant number, since it is smaller than the sum of its proper divisors (184247296).

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

66964800 is a wasteful number, since it uses less digits than its factorization.

66964800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2025 (or 2010 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 66964800 is about 8183.2023071656. The cubic root of 66964800 is about 406.0836699762.

The spelling of 66964800 in words is "sixty-six million, nine hundred sixty-four thousand, eight hundred".