83682499680 has 480 divisors, whose sum is σ = 320037933600. Its totient is φ = 20591760384.

The previous prime is 83682499669. The next prime is 83682499687. The reversal of 83682499680 is 8699428638.

83682499680 is a `hidden beast` number, since 8 + 3 + 6 + 82 + 499 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×83682499680³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83682499687) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28471651 + ... + 28474589.

It is an arithmetic number, because the mean of its divisors is an integer number (666745695).

Almost surely, 2^83682499680 is an apocalyptic number.

83682499680 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 83682499680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160018966800).

83682499680 is an abundant number, since it is smaller than the sum of its proper divisors (236355433920).

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

83682499680 is a wasteful number, since it uses less digits than its factorization.

83682499680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3005 (or 2962 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 83682499680 in words is "eighty-three billion, six hundred eighty-two million, four hundred ninety-nine thousand, six hundred eighty".