564769448100 has 324 divisors, whose sum is σ = 2095481419668. Its totient is φ = 126381657600.

The previous prime is 564769448077. The next prime is 564769448107. The reversal of 564769448100 is 1844967465.

564769448100 is a `hidden beast` number, since 5 + 6 + 4 + 76 + 94 + 481 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 176919501924 + 387849946176 = 420618^2 + 622776^2 .

It is a super-2 number, since 2×564769448100² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564769448107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1216234 + ... + 1615166.

Almost surely, 2^564769448100 is an apocalyptic number.

564769448100 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 564769448100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1047740709834).

564769448100 is an abundant number, since it is smaller than the sum of its proper divisors (1530711971568).

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

564769448100 is a wasteful number, since it uses less digits than its factorization.

564769448100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398988 (or 398967 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 564769448100 in words is "five hundred sixty-four billion, seven hundred sixty-nine million, four hundred forty-eight thousand, one hundred".