8664632570880 has 2112 divisors, whose sum is σ = 37781768134656. Its totient is φ = 1875197952000.

The previous prime is 8664632570851. The next prime is 8664632570887. The reversal of 8664632570880 is 880752364668.

8664632570880 is a `hidden beast` number, since 8 + 6 + 6 + 463 + 25 + 70 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8664632570887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5515360495 + ... + 5515362065.

Almost surely, 2^{8664632570880} is an apocalyptic number.

8664632570880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8664632570880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18890884067328).

8664632570880 is an abundant number, since it is smaller than the sum of its proper divisors (29117135563776).

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

8664632570880 is a wasteful number, since it uses less digits than its factorization.

8664632570880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1666 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

It can be divided in two parts, 866463 and 2570880, that added together give a palindrome (3437343).

The spelling of 8664632570880 in words is "eight trillion, six hundred sixty-four billion, six hundred thirty-two million, five hundred seventy thousand, eight hundred eighty".