4064264160 has 576 divisors, whose sum is σ = 15444172800. Its totient is φ = 894136320.

The previous prime is 4064264159. The next prime is 4064264161. The reversal of 4064264160 is 614624604.

It is an interprime number because it is at equal distance from previous prime (4064264159) and next prime (4064264161).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4064264161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32002017 + ... + 32002143.

It is an arithmetic number, because the mean of its divisors is an integer number (26812800).

Almost surely, 2^4064264160 is an apocalyptic number.

4064264160 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 4064264160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7722086400).

4064264160 is an abundant number, since it is smaller than the sum of its proper divisors (11379908640).

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

4064264160 is a wasteful number, since it uses less digits than its factorization.

4064264160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 4064264160 is about 63751.5816274389. The cubic root of 4064264160 is about 1595.8570107008.

Adding to 4064264160 its reverse (614624604), we get a palindrome (4678888764).

The spelling of 4064264160 in words is "four billion, sixty-four million, two hundred sixty-four thousand, one hundred sixty".