66307680 has 96 divisors (see below), whose sum is σ = 232092000. Its totient is φ = 17680896.

The previous prime is 66307679. The next prime is 66307687. The reversal of 66307680 is 8670366.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66307687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3355 + ... + 11994.

It is an arithmetic number, because the mean of its divisors is an integer number (2417625).

Almost surely, 2^66307680 is an apocalyptic number.

66307680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66307680 is an abundant number, since it is smaller than the sum of its proper divisors (165784320).

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

66307680 is a wasteful number, since it uses less digits than its factorization.

66307680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15373 (or 15359 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 66307680 is about 8142.9527813932. The cubic root of 66307680 is about 404.7510129392.

The spelling of 66307680 in words is "sixty-six million, three hundred seven thousand, six hundred eighty".