552287600640 has 840 divisors, whose sum is σ = 2111102338950. Its totient is φ = 138613358592.

The previous prime is 552287600621. The next prime is 552287600647. The reversal of 552287600640 is 46006782255.

552287600640 is a `hidden beast` number, since 5 + 522 + 8 + 7 + 60 + 0 + 64 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 536808259584 + 15479341056 = 732672^2 + 124416^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (552287600647) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 32487505912 + ... + 32487505928.

Almost surely, 2^552287600640 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 552287600640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1055551169475).

552287600640 is an abundant number, since it is smaller than the sum of its proper divisors (1558814738310).

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

552287600640 is an frugal number, since it uses more digits than its factorization.

552287600640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 552287600640 in words is "five hundred fifty-two billion, two hundred eighty-seven million, six hundred thousand, six hundred forty".