66352824756 has 252 divisors, whose sum is σ = 182835243108. Its totient is φ = 21043908864.

The previous prime is 66352824751. The next prime is 66352824757. The reversal of 66352824756 is 65742825366.

66352824756 is a `hidden beast` number, since 6 + 63 + 528 + 2 + 4 + 7 + 56 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 50317667856 + 16035156900 = 224316^2 + 126630^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66352824751) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 484327120 + ... + 484327256.

It is an arithmetic number, because the mean of its divisors is an integer number (725536679).

Almost surely, 2^66352824756 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 66352824756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91417621554).

66352824756 is an abundant number, since it is smaller than the sum of its proper divisors (116482418352).

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

66352824756 is a wasteful number, since it uses less digits than its factorization.

66352824756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 246 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 54.

The spelling of 66352824756 in words is "sixty-six billion, three hundred fifty-two million, eight hundred twenty-four thousand, seven hundred fifty-six".