4066504000 has 224 divisors, whose sum is σ = 11040355872. Its totient is φ = 1474560000.

The previous prime is 4066503949. The next prime is 4066504021. The reversal of 4066504000 is 4056604.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 3689833536 + 376670464 = 60744^2 + 19408^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6343680 + ... + 6344320.

It is an arithmetic number, because the mean of its divisors is an integer number (49287303).

Almost surely, 2^4066504000 is an apocalyptic number.

4066504000 is a gapful number since it is divisible by the number (40) 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 4066504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5520177936).

4066504000 is an abundant number, since it is smaller than the sum of its proper divisors (6973851872).

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

4066504000 is a wasteful number, since it uses less digits than its factorization.

4066504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 4066504000 is about 63769.1461445110. The cubic root of 4066504000 is about 1596.1501189398.

The spelling of 4066504000 in words is "four billion, sixty-six million, five hundred four thousand".