64753280 has 128 divisors (see below), whose sum is σ = 166561920. Its totient is φ = 24014848.

The previous prime is 64753279. The next prime is 64753301. The reversal of 64753280 is 8235746.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 64753280.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 780119 + ... + 780201.

It is an arithmetic number, because the mean of its divisors is an integer number (1301265).

Almost surely, 2^64753280 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 64753280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83280960).

64753280 is an abundant number, since it is smaller than the sum of its proper divisors (101808640).

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

64753280 is a wasteful number, since it uses less digits than its factorization.

64753280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 64753280 is about 8046.9422764178. The cubic root of 64753280 is about 401.5632162624.

The spelling of 64753280 in words is "sixty-four million, seven hundred fifty-three thousand, two hundred eighty".