4260664800 has 864 divisors, whose sum is σ = 18562811904. Its totient is φ = 933120000.

The previous prime is 4260664799. The next prime is 4260664801. The reversal of 4260664800 is 84660624.

It is a happy number.

4260664800 is a `hidden beast` number, since 4 + 2 + 6 + 0 + 6 + 648 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4260664799) and next prime (4260664801).

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4260664801) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 42184750 + ... + 42184850.

It is an arithmetic number, because the mean of its divisors is an integer number (21484736).

Almost surely, 2^4260664800 is an apocalyptic number.

4260664800 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 4260664800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9281405952).

4260664800 is an abundant number, since it is smaller than the sum of its proper divisors (14302147104).

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

4260664800 is a wasteful number, since it uses less digits than its factorization.

4260664800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 4260664800 is about 65273.7680848900. The cubic root of 4260664800 is about 1621.1596634936.

The spelling of 4260664800 in words is "four billion, two hundred sixty million, six hundred sixty-four thousand, eight hundred".