564454200000 has 336 divisors, whose sum is σ = 1926974665728. Its totient is φ = 145660800000.

The previous prime is 564454199993. The next prime is 564454200007. The reversal of 564454200000 is 2454465.

It is an interprime number because it is at equal distance from previous prime (564454199993) and next prime (564454200007).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (564454200007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18584827 + ... + 18615173.

It is an arithmetic number, because the mean of its divisors is an integer number (5735043648).

Almost surely, 2^564454200000 is an apocalyptic number.

564454200000 is a gapful number since it is divisible by the number (50) 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 564454200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963487332864).

564454200000 is an abundant number, since it is smaller than the sum of its proper divisors (1362520465728).

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

564454200000 is an equidigital number, since it uses as much as digits as its factorization.

564454200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30418 (or 30388 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 564454200000 its reverse (2454465), we get a palindrome (564456654465).

The spelling of 564454200000 in words is "five hundred sixty-four billion, four hundred fifty-four million, two hundred thousand".