4560322421700 has 648 divisors, whose sum is σ = 16367968398600. Its totient is φ = 1056982671360.

The previous prime is 4560322421693. The next prime is 4560322421731. The reversal of 4560322421700 is 71242230654.

4560322421700 is a `hidden beast` number, since 4 + 5 + 603 + 2 + 2 + 42 + 1 + 7 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 2036494535364 + 2523827886336 = 1427058^2 + 1588656^2 .

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

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 215 ways as a sum of consecutive naturals, for example, 234707586 + ... + 234727014.

Almost surely, 2^{4560322421700} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4560322421700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8183984199300).

4560322421700 is an abundant number, since it is smaller than the sum of its proper divisors (11807645976900).

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

4560322421700 is a wasteful number, since it uses less digits than its factorization.

4560322421700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19541 (or 19508 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 4560322421700 in words is "four trillion, five hundred sixty billion, three hundred twenty-two million, four hundred twenty-one thousand, seven hundred".