64000064 has 28 divisors (see below), whose sum is σ = 128270508. Its totient is φ = 31680000.

The previous prime is 64000063. The next prime is 64000067. The reversal of 64000064 is 46000046.

It can be written as a sum of positive squares in 2 ways, for example, as 61465600 + 2534464 = 7840^2 + 1592^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64000063) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1514 + ... + 11414.

Almost surely, 2^64000064 is an apocalyptic number.

64000064 is a gapful number since it is divisible by the number (64) 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 64000064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64135254).

64000064 is an abundant number, since it is smaller than the sum of its proper divisors (64270444).

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

64000064 is a wasteful number, since it uses less digits than its factorization.

64000064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10014 (or 10004 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 64000064 is about 8000.0039999990. The cubic root of 64000064 is about 400.0001333333. Note that the first 3 decimals are identical.

It can be divided in two parts, 640000 and 64, that multiplied together give a 4-th power (40960000 = 80⁴).

The spelling of 64000064 in words is "sixty-four million, sixty-four", and thus it is an aban number and an eban number.