64032004000 has 72 divisors (see below), whose sum is σ = 157365965484. Its totient is φ = 25606400000.

The previous prime is 64032003989. The next prime is 64032004189. The reversal of 64032004000 is 40023046.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 9893883024 + 54138120976 = 99468^2 + 232676^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16002000 + ... + 16006000.

Almost surely, 2^64032004000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64032004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78682982742).

64032004000 is an abundant number, since it is smaller than the sum of its proper divisors (93333961484).

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

64032004000 is an frugal number, since it uses more digits than its factorization.

64032004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8027 (or 4008 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 64032004000 its reverse (40023046), we get a palindrome (64072027046).

The spelling of 64032004000 in words is "sixty-four billion, thirty-two million, four thousand", and thus it is an eban number.