564462530010 has 192 divisors, whose sum is σ = 1575344010240. Its totient is φ = 145269987840.

The previous prime is 564462530003. The next prime is 564462530057. The reversal of 564462530010 is 10035264465.

564462530010 is a `hidden beast` number, since 5 + 64 + 4 + 62 + 530 + 0 + 1 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28088046 + ... + 28108134.

It is an arithmetic number, because the mean of its divisors is an integer number (8204916720).

Almost surely, 2^564462530010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 564462530010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787672005120).

564462530010 is an abundant number, since it is smaller than the sum of its proper divisors (1010881480230).

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

564462530010 is a wasteful number, since it uses less digits than its factorization.

564462530010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20515 (or 20503 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 564462530010 its reverse (10035264465), we get a palindrome (574497794475).

The spelling of 564462530010 in words is "five hundred sixty-four billion, four hundred sixty-two million, five hundred thirty thousand, ten".