4025636160 has 672 divisors, whose sum is σ = 16636959360. Its totient is φ = 816463872.

The previous prime is 4025636143. The next prime is 4025636201. The reversal of 4025636160 is 616365204.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17733967 + ... + 17734193.

It is an arithmetic number, because the mean of its divisors is an integer number (24757380).

Almost surely, 2^4025636160 is an apocalyptic number.

4025636160 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 4025636160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8318479680).

4025636160 is an abundant number, since it is smaller than the sum of its proper divisors (12611323200).

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

4025636160 is a wasteful number, since it uses less digits than its factorization.

4025636160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 4025636160 is about 63447.9011473193. The cubic root of 4025636160 is about 1590.7850717384.

The spelling of 4025636160 in words is "four billion, twenty-five million, six hundred thirty-six thousand, one hundred sixty".