8585720064 has 90 divisors (see below), whose sum is σ = 25601125550. Its totient is φ = 2861899776.

The previous prime is 8585720063. The next prime is 8585720089. The reversal of 8585720064 is 4600275858.

8585720064 is a `hidden beast` number, since 8 + 585 + 7 + 2 + 0 + 0 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7096377600 + 1489342464 = 84240^2 + 38592^2 .

It is not an unprimeable number, because it can be changed into a prime (8585720063) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 186289 + ... + 227760.

Almost surely, 2^8585720064 is an apocalyptic number.

It is an amenable number.

8585720064 is an abundant number, since it is smaller than the sum of its proper divisors (17015405486).

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

8585720064 is an equidigital number, since it uses as much as digits as its factorization.

8585720064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414077 (or 414054 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 8585720064 is about 92659.1607127973. The cubic root of 8585720064 is about 2047.6650046147.

The spelling of 8585720064 in words is "eight billion, five hundred eighty-five million, seven hundred twenty thousand, sixty-four".