8642031211632 has 320 divisors, whose sum is σ = 27885195233280. Its totient is φ = 2245559500800.

The previous prime is 8642031211621. The next prime is 8642031211633. The reversal of 8642031211632 is 2361121302468.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8642031211633) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 109199757 + ... + 109278867.

It is an arithmetic number, because the mean of its divisors is an integer number (87141235104).

Almost surely, 2^{8642031211632} 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 8642031211632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13942597616640).

8642031211632 is an abundant number, since it is smaller than the sum of its proper divisors (19243164021648).

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

8642031211632 is a wasteful number, since it uses less digits than its factorization.

8642031211632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79512 (or 79506 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 8642031211632 in words is "eight trillion, six hundred forty-two billion, thirty-one million, two hundred eleven thousand, six hundred thirty-two".