562742056688760 has 256 divisors, whose sum is σ = 2021484342528000. Its totient is φ = 138426174097920.

The previous prime is 562742056688729. The next prime is 562742056688771. The reversal of 562742056688760 is 67886650247265.

562742056688760 is a `hidden beast` number, since 5 + 6 + 2 + 7 + 420 + 5 + 6 + 68 + 87 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6748465 + ... + 34220255.

It is an arithmetic number, because the mean of its divisors is an integer number (7896423213000).

Almost surely, 2^{562742056688760} 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 562742056688760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1010742171264000).

562742056688760 is an abundant number, since it is smaller than the sum of its proper divisors (1458742285839240).

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

562742056688760 is a wasteful number, since it uses less digits than its factorization.

562742056688760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27473283 (or 27473273 counting only the distinct ones).

The product of its (nonzero) digits is 1625702400, while the sum is 72.

The spelling of 562742056688760 in words is "five hundred sixty-two trillion, seven hundred forty-two billion, fifty-six million, six hundred eighty-eight thousand, seven hundred sixty".