564960489984 has 560 divisors, whose sum is σ = 1896721548480. Its totient is φ = 166528327680.

The previous prime is 564960489967. The next prime is 564960490007. The reversal of 564960489984 is 489984069465.

564960489984 is a `hidden beast` number, since 5 + 6 + 4 + 9 + 60 + 489 + 9 + 84 = 666.

It is a super-2 number, since 2×564960489984² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 151910077 + ... + 151913795.

Almost surely, 2^564960489984 is an apocalyptic number.

564960489984 is a gapful number since it is divisible by the number (54) 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 564960489984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948360774240).

564960489984 is an abundant number, since it is smaller than the sum of its proper divisors (1331761058496).

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

564960489984 is an equidigital number, since it uses as much as digits as its factorization.

564960489984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3803 (or 3772 counting only the distinct ones).

The product of its (nonzero) digits is 537477120, while the sum is 72.

The spelling of 564960489984 in words is "five hundred sixty-four billion, nine hundred sixty million, four hundred eighty-nine thousand, nine hundred eighty-four".