83697943680 has 768 divisors, whose sum is σ = 327972758400. Its totient is φ = 20050550784.

The previous prime is 83697943663. The next prime is 83697943697. The reversal of 83697943680 is 8634979638.

83697943680 is a `hidden beast` number, since 8 + 36 + 97 + 9 + 436 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (83697943663) and next prime (83697943697).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1008408919 + ... + 1008409001.

Almost surely, 2^83697943680 is an apocalyptic number.

83697943680 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 83697943680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163986379200).

83697943680 is an abundant number, since it is smaller than the sum of its proper divisors (244274814720).

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

83697943680 is a wasteful number, since it uses less digits than its factorization.

83697943680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 83697943680 in words is "eighty-three billion, six hundred ninety-seven million, nine hundred forty-three thousand, six hundred eighty".