4506002265600 has 2880 divisors, whose sum is σ = 19787645509632. Its totient is φ = 1003290624000.

The previous prime is 4506002265581. The next prime is 4506002265607. The reversal of 4506002265600 is 65622006054.

4506002265600 is a `hidden beast` number, since 45 + 0 + 6 + 0 + 0 + 2 + 2 + 6 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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 (4506002265607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 35480332737 + ... + 35480332863.

Almost surely, 2^{4506002265600} is an apocalyptic number.

4506002265600 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 4506002265600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9893822754816).

4506002265600 is an abundant number, since it is smaller than the sum of its proper divisors (15281643244032).

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

4506002265600 is a wasteful number, since it uses less digits than its factorization.

4506002265600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 4506002265600 in words is "four trillion, five hundred six billion, two million, two hundred sixty-five thousand, six hundred".