83007646784 has 112 divisors (see below), whose sum is σ = 176269637808. Its totient is φ = 38647431168.

The previous prime is 83007646769. The next prime is 83007646793. The reversal of 83007646784 is 48764670038.

It can be written as a sum of positive squares in 8 ways, for example, as 14048886784 + 68958760000 = 118528^2 + 262600^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55597142 + ... + 55598634.

Almost surely, 2^83007646784 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 83007646784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88134818904).

83007646784 is an abundant number, since it is smaller than the sum of its proper divisors (93261991024).

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

83007646784 is a wasteful number, since it uses less digits than its factorization.

83007646784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2032 (or 2022 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 53.

The spelling of 83007646784 in words is "eighty-three billion, seven million, six hundred forty-six thousand, seven hundred eighty-four".