4064904000 has 784 divisors, whose sum is σ = 16370814096. Its totient is φ = 995328000.

The previous prime is 4064903989. The next prime is 4064904007. The reversal of 4064904000 is 4094604.

It can be written as a sum of positive squares in 8 ways, for example, as 1847624256 + 2217279744 = 42984^2 + 47088^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4064904007) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 99143980 + ... + 99144020.

Almost surely, 2^4064904000 is an apocalyptic number.

4064904000 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 4064904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8185407048).

4064904000 is an abundant number, since it is smaller than the sum of its proper divisors (12305910096).

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

4064904000 is an equidigital number, since it uses as much as digits as its factorization.

4064904000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 4064904000 is about 63756.5996583883. The cubic root of 4064904000 is about 1595.9407519416.

Adding to 4064904000 its reverse (4094604), we get a palindrome (4068998604).

The spelling of 4064904000 in words is "four billion, sixty-four million, nine hundred four thousand".