8632427246064 has 80 divisors (see below), whose sum is σ = 24778721872800. Its totient is φ = 2877422505984.

The previous prime is 8632427246029. The next prime is 8632427246203. The reversal of 8632427246064 is 4606427242368.

8632427246064 is a `hidden beast` number, since 8 + 6 + 3 + 2 + 4 + 2 + 7 + 24 + 606 + 4 = 666.

It is a super-3 number, since 3×8632427246064³ (a number of 40 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 8632427246064.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28242922 + ... + 28546934.

It is an arithmetic number, because the mean of its divisors is an integer number (309734023410).

Almost surely, 2^{8632427246064} is an apocalyptic number.

It is an amenable number.

8632427246064 is an abundant number, since it is smaller than the sum of its proper divisors (16146294626736).

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

8632427246064 is a wasteful number, since it uses less digits than its factorization.

8632427246064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369759 (or 369747 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 54.

The spelling of 8632427246064 in words is "eight trillion, six hundred thirty-two billion, four hundred twenty-seven million, two hundred forty-six thousand, sixty-four".