67365664 has 36 divisors (see below), whose sum is σ = 135650214. Its totient is φ = 32931584.

The previous prime is 67365647. The next prime is 67365667. The reversal of 67365664 is 46656376.

It can be written as a sum of positive squares in only one way, i.e., 59413264 + 7952400 = 7708^2 + 2820^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 67365664.

It is not an unprimeable number, because it can be changed into a prime (67365667) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 70212 + ... + 71164.

Almost surely, 2^67365664 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 67365664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67825107).

67365664 is an abundant number, since it is smaller than the sum of its proper divisors (68284550).

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

67365664 is an equidigital number, since it uses as much as digits as its factorization.

67365664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1057 (or 1002 counting only the distinct ones).

The product of its digits is 544320, while the sum is 43.

The square root of 67365664 is about 8207.6588623066. The cubic root of 67365664 is about 406.8923564351.

The spelling of 67365664 in words is "sixty-seven million, three hundred sixty-five thousand, six hundred sixty-four".