562429895664 has 960 divisors, whose sum is σ = 1987747776000. Its totient is φ = 135374561280.

The previous prime is 562429895663. The next prime is 562429895693. The reversal of 562429895664 is 466598924265.

It is a junction number, because it is equal to n+sod(n) for n = 562429895595 and 562429895604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (562429895663) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2090817322 + ... + 2090817590.

It is an arithmetic number, because the mean of its divisors is an integer number (2070570600).

Almost surely, 2^562429895664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 562429895664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993873888000).

562429895664 is an abundant number, since it is smaller than the sum of its proper divisors (1425317880336).

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

562429895664 is a wasteful number, since it uses less digits than its factorization.

562429895664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 433 counting only the distinct ones).

The product of its digits is 223948800, while the sum is 66.

The spelling of 562429895664 in words is "five hundred sixty-two billion, four hundred twenty-nine million, eight hundred ninety-five thousand, six hundred sixty-four".