64032004000000 has 189 divisors, whose sum is σ = 159805250033023. Its totient is φ = 25606400000000.

The previous prime is 64032003999973. The next prime is 64032004000001. The reversal of 64032004000000 is 40023046.

64032004000000 = 1³ + 2³ + ... + 4000³.

The square root of 64032004000000 is 8002000.

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

It can be written as a sum of positive squares in 10 ways, for example, as 18140375759104 + 45891628240896 = 4259152^2 + 6774336^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (64032004000001) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 16003998000 + ... + 16004002000.

Almost surely, 2^{64032004000000} is an apocalyptic number.

64032004000000 is the 8002000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64032004000000

64032004000000 is an abundant number, since it is smaller than the sum of its proper divisors (95773246033023).

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

64032004000000 is an frugal number, since it uses more digits than its factorization.

64032004000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8048 (or 4008 counting only the distinct ones).

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

Adding to 64032004000000 its reverse (40023046), we get a palindrome (64032044023046).

The spelling of 64032004000000 in words is "sixty-four trillion, thirty-two billion, four million", and thus it is an aban number and an eban number.