83630717676 has 288 divisors, whose sum is σ = 243512156160. Its totient is φ = 25093696320.

The previous prime is 83630717663. The next prime is 83630717683. The reversal of 83630717676 is 67671703638.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 164303710 + ... + 164304218.

It is an arithmetic number, because the mean of its divisors is an integer number (845528320).

Almost surely, 2^83630717676 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 83630717676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121756078080).

83630717676 is an abundant number, since it is smaller than the sum of its proper divisors (159881438484).

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

83630717676 is a wasteful number, since it uses less digits than its factorization.

83630717676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The spelling of 83630717676 in words is "eighty-three billion, six hundred thirty million, seven hundred seventeen thousand, six hundred seventy-six".