552006568064 has 256 divisors, whose sum is σ = 1420919470080. Its totient is φ = 208018685952.

The previous prime is 552006568049. The next prime is 552006568147. The reversal of 552006568064 is 460865600255.

It is a super-2 number, since 2×552006568064² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15046127 + ... + 15082769.

It is an arithmetic number, because the mean of its divisors is an integer number (5550466680).

Almost surely, 2^552006568064 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 552006568064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710459735040).

552006568064 is an abundant number, since it is smaller than the sum of its proper divisors (868912902016).

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

552006568064 is a wasteful number, since it uses less digits than its factorization.

552006568064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36747 (or 36735 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 47.

The spelling of 552006568064 in words is "five hundred fifty-two billion, six million, five hundred sixty-eight thousand, sixty-four".