564335493120 has 1440 divisors, whose sum is σ = 2409805762560. Its totient is φ = 124853944320.

The previous prime is 564335493103. The next prime is 564335493131. The reversal of 564335493120 is 21394533465.

564335493120 is a `hidden beast` number, since 5 + 6 + 4 + 3 + 35 + 493 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4443586497 + ... + 4443586623.

It is an arithmetic number, because the mean of its divisors is an integer number (1673476224).

Almost surely, 2^564335493120 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 564335493120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1204902881280).

564335493120 is an abundant number, since it is smaller than the sum of its proper divisors (1845470269440).

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

564335493120 is a wasteful number, since it uses less digits than its factorization.

564335493120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 564335493120 in words is "five hundred sixty-four billion, three hundred thirty-five million, four hundred ninety-three thousand, one hundred twenty".