83675257638 has 128 divisors (see below), whose sum is σ = 198176025600. Its totient is φ = 23059924992.

The previous prime is 83675257607. The next prime is 83675257639.

83675257638 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83675257639) 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, 66461053 + ... + 66462311.

It is an arithmetic number, because the mean of its divisors is an integer number (1548250200).

Almost surely, 2^83675257638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83675257638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99088012800).

83675257638 is an abundant number, since it is smaller than the sum of its proper divisors (114500767962).

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

83675257638 is a wasteful number, since it uses less digits than its factorization.

83675257638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1806.

The product of its digits is 50803200, while the sum is 60.

The spelling of 83675257638 in words is "eighty-three billion, six hundred seventy-five million, two hundred fifty-seven thousand, six hundred thirty-eight".