4260681600 has 768 divisors, whose sum is σ = 17484595200. Its totient is φ = 890265600.

The previous prime is 4260681599. The next prime is 4260681629. The reversal of 4260681600 is 61860624.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60009565 + ... + 60009635.

It is an arithmetic number, because the mean of its divisors is an integer number (22766400).

Almost surely, 2^4260681600 is an apocalyptic number.

4260681600 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 4260681600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8742297600).

4260681600 is an abundant number, since it is smaller than the sum of its proper divisors (13223913600).

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

4260681600 is a wasteful number, since it uses less digits than its factorization.

4260681600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 4260681600 is about 65273.8967735189. The cubic root of 4260681600 is about 1621.1617942602.

The spelling of 4260681600 in words is "four billion, two hundred sixty million, six hundred eighty-one thousand, six hundred".