642528064 has 28 divisors (see below), whose sum is σ = 1287653508. Its totient is φ = 318080000.

The previous prime is 642528053. The next prime is 642528071. The reversal of 642528064 is 460825246.

It can be written as a sum of positive squares in 2 ways, for example, as 534534400 + 107993664 = 23120^2 + 10392^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 43237 + ... + 56164.

Almost surely, 2^642528064 is an apocalyptic number.

642528064 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

642528064 is an abundant number, since it is smaller than the sum of its proper divisors (645125444).

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

642528064 is a wasteful number, since it uses less digits than its factorization.

642528064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99514 (or 99504 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

The square root of 642528064 is about 25348.1372885662. The cubic root of 642528064 is about 862.9070828890.

The spelling of 642528064 in words is "six hundred forty-two million, five hundred twenty-eight thousand, sixty-four".