83887767936 has 448 divisors, whose sum is σ = 292316292000. Its totient is φ = 23958789120.

The previous prime is 83887767919. The next prime is 83887767941. The reversal of 83887767936 is 63976778838.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×83887767936³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 32004706 + ... + 32007326.

Almost surely, 2^83887767936 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 83887767936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146158146000).

83887767936 is an abundant number, since it is smaller than the sum of its proper divisors (208428524064).

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

83887767936 is an frugal number, since it uses more digits than its factorization.

83887767936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2674 (or 2633 counting only the distinct ones).

The product of its digits is 512096256, while the sum is 72.

The spelling of 83887767936 in words is "eighty-three billion, eight hundred eighty-seven million, seven hundred sixty-seven thousand, nine hundred thirty-six".