64040375844 has 135 divisors (see below), whose sum is σ = 178056677953. Its totient is φ = 20066804352.

The previous prime is 64040375837. The next prime is 64040375897. The reversal of 64040375844 is 44857304046.

The square root of 64040375844 is 253062.

It is a perfect power (a square), and thus also a powerful number.

64040375844 is a `hidden beast` number, since 64 + 0 + 4 + 0 + 3 + 7 + 584 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 49858424100 + 14181951744 = 223290^2 + 119088^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 64040375844.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 77436559 + ... + 77437385.

Almost surely, 2^64040375844 is an apocalyptic number.

64040375844 is the 253062-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64040375844

64040375844 is an abundant number, since it is smaller than the sum of its proper divisors (114016302109).

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

64040375844 is an equidigital number, since it uses as much as digits as its factorization.

64040375844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1704 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 64040375844 in words is "sixty-four billion, forty million, three hundred seventy-five thousand, eight hundred forty-four".