83639706240 has 512 divisors, whose sum is σ = 294079610880. Its totient is φ = 20127744000.

The previous prime is 83639706239. The next prime is 83639706247. The reversal of 83639706240 is 4260793638.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 83639706240.

It is not an unprimeable number, because it can be changed into a prime (83639706247) 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, 132550725 + ... + 132551355.

It is an arithmetic number, because the mean of its divisors is an integer number (574374240).

Almost surely, 2^83639706240 is an apocalyptic number.

83639706240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83639706240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147039805440).

83639706240 is an abundant number, since it is smaller than the sum of its proper divisors (210439904640).

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

83639706240 is a wasteful number, since it uses less digits than its factorization.

83639706240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 48.

The spelling of 83639706240 in words is "eighty-three billion, six hundred thirty-nine million, seven hundred six thousand, two hundred forty".