564145320640 has 56 divisors (see below), whose sum is σ = 1465495694352. Its totient is φ = 205143751680.

The previous prime is 564145320581. The next prime is 564145320689. The reversal of 564145320640 is 46023541465.

It is a super-3 number, since 3×564145320640³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 564145320593 and 564145320602.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80130759 + ... + 80137798.

Almost surely, 2^564145320640 is an apocalyptic number.

It is an amenable number.

564145320640 is an abundant number, since it is smaller than the sum of its proper divisors (901350373712).

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

564145320640 is a wasteful number, since it uses less digits than its factorization.

564145320640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160268585 (or 160268575 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 40.

The spelling of 564145320640 in words is "five hundred sixty-four billion, one hundred forty-five million, three hundred twenty thousand, six hundred forty".