83683600000 has 1152 divisors, whose sum is σ = 296737257600. Its totient is φ = 22809600000.

The previous prime is 83683599983. The next prime is 83683600009. The reversal of 83683600000 is 638638.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83683600009) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4404399991 + ... + 4404400009.

It is an arithmetic number, because the mean of its divisors is an integer number (257584425).

Almost surely, 2^83683600000 is an apocalyptic number.

83683600000 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 83683600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148368628800).

83683600000 is an abundant number, since it is smaller than the sum of its proper divisors (213053657600).

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

83683600000 is a wasteful number, since it uses less digits than its factorization.

83683600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The spelling of 83683600000 in words is "eighty-three billion, six hundred eighty-three million, six hundred thousand".