564264226944 has 1152 divisors, whose sum is σ = 1990757321280. Its totient is φ = 157600235520.

The previous prime is 564264226921. The next prime is 564264226951. The reversal of 564264226944 is 449622462465.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (19906560) is a multiple of the sum of its prime divisors (135).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10646494822 + ... + 10646494874.

Almost surely, 2^564264226944 is an apocalyptic number.

564264226944 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 564264226944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (995378660640).

564264226944 is an abundant number, since it is smaller than the sum of its proper divisors (1426493094336).

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

564264226944 is a wasteful number, since it uses less digits than its factorization.

564264226944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 135 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 54.

The spelling of 564264226944 in words is "five hundred sixty-four billion, two hundred sixty-four million, two hundred twenty-six thousand, nine hundred forty-four".