8689905871632 has 1280 divisors, whose sum is σ = 28807156224000. Its totient is φ = 2495518212096.

The previous prime is 8689905871627. The next prime is 8689905871639. The reversal of 8689905871632 is 2361785099868.

8689905871632 is a `hidden beast` number, since 8 + 6 + 8 + 9 + 9 + 0 + 587 + 1 + 6 + 32 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (8689905871639) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 45025418928 + ... + 45025419120.

It is an arithmetic number, because the mean of its divisors is an integer number (22505590800).

Almost surely, 2^{8689905871632} 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 8689905871632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14403578112000).

8689905871632 is an abundant number, since it is smaller than the sum of its proper divisors (20117250352368).

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

8689905871632 is a wasteful number, since it uses less digits than its factorization.

8689905871632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 72.

The spelling of 8689905871632 in words is "eight trillion, six hundred eighty-nine billion, nine hundred five million, eight hundred seventy-one thousand, six hundred thirty-two".