82663655636628 has 72 divisors (see below), whose sum is σ = 234112138609440. Its totient is φ = 24372576596160.

The previous prime is 82663655636621. The next prime is 82663655636647.

82663655636628 is a `hidden beast` number, since 8 + 2 + 6 + 6 + 3 + 6 + 556 + 3 + 6 + 62 + 8 = 666.

82663655636628 is nontrivially palindromic in base 10.

82663655636628 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×82663655636628² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82663655636621) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2820885418 + ... + 2820914721.

Almost surely, 2^{82663655636628} is an apocalyptic number.

It is an amenable number.

82663655636628 is an abundant number, since it is smaller than the sum of its proper divisors (151448482972812).

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

82663655636628 is a wasteful number, since it uses less digits than its factorization.

82663655636628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5641800197 (or 5641800192 counting only the distinct ones).

The product of its digits is 2687385600, while the sum is 72.

The spelling of 82663655636628 in words is "eighty-two trillion, six hundred sixty-three billion, six hundred fifty-five million, six hundred thirty-six thousand, six hundred twenty-eight".