8032616495712 has 768 divisors, whose sum is σ = 26151358464000. Its totient is φ = 2388301977600.

The previous prime is 8032616495647. The next prime is 8032616495767. The reversal of 8032616495712 is 2175946162308.

It is a happy number.

8032616495712 is a `hidden beast` number, since 8 + 0 + 3 + 2 + 6 + 1 + 64 + 9 + 571 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7243116214 + ... + 7243117322.

It is an arithmetic number, because the mean of its divisors is an integer number (34051248000).

It is a 1-persistent number, because it is pandigital, but 2⋅8032616495712 = 16065232991424 is not.

Almost surely, 2^{8032616495712} 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 8032616495712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13075679232000).

8032616495712 is an abundant number, since it is smaller than the sum of its proper divisors (18118741968288).

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

8032616495712 is a wasteful number, since it uses less digits than its factorization.

8032616495712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1552 (or 1538 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 8032616495712 in words is "eight trillion, thirty-two billion, six hundred sixteen million, four hundred ninety-five thousand, seven hundred twelve".