564551460000 has 720 divisors, whose sum is σ = 2199539422080. Its totient is φ = 136174080000.

The previous prime is 564551459957. The next prime is 564551460017. The reversal of 564551460000 is 64155465.

564551460000 is a `hidden beast` number, since 5 + 6 + 45 + 5 + 1 + 4 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 473219404 + ... + 473220596.

It is an arithmetic number, because the mean of its divisors is an integer number (3054915864).

Almost surely, 2^564551460000 is an apocalyptic number.

564551460000 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 564551460000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1099769711040).

564551460000 is an abundant number, since it is smaller than the sum of its proper divisors (1634987962080).

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

564551460000 is a wasteful number, since it uses less digits than its factorization.

564551460000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479 (or 1453 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 564551460000 in words is "five hundred sixty-four billion, five hundred fifty-one million, four hundred sixty thousand".