64719360 has 180 divisors, whose sum is σ = 228450222. Its totient is φ = 16932864.

The previous prime is 64719359. The next prime is 64719367. The reversal of 64719360 is 6391746.

64719360 is a `hidden beast` number, since 647 + 1 + 9 + 3 + 6 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 61214976 + 3504384 = 7824^2 + 1872^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is not an unprimeable number, because it can be changed into a prime (64719367) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 1221094 + ... + 1221146.

Almost surely, 2^64719360 is an apocalyptic number.

64719360 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 64719360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114225111).

64719360 is an abundant number, since it is smaller than the sum of its proper divisors (163730862).

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

64719360 is an equidigital number, since it uses as much as digits as its factorization.

64719360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 64719360 is about 8044.8343674684. The cubic root of 64719360 is about 401.4930864642.

The spelling of 64719360 in words is "sixty-four million, seven hundred nineteen thousand, three hundred sixty".