83745318283680 has 768 divisors, whose sum is σ = 290517466337280. Its totient is φ = 20203709202432.

The previous prime is 83745318283673. The next prime is 83745318283709. The reversal of 83745318283680 is 8638281354738.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3927453499 + ... + 3927474821.

It is an arithmetic number, because the mean of its divisors is an integer number (378277950960).

Almost surely, 2^{83745318283680} is an apocalyptic number.

83745318283680 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 83745318283680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145258733168640).

83745318283680 is an abundant number, since it is smaller than the sum of its proper divisors (206772148053600).

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

83745318283680 is a wasteful number, since it uses less digits than its factorization.

83745318283680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21613 (or 21605 counting only the distinct ones).

The product of its (nonzero) digits is 185794560, while the sum is 66.

The spelling of 83745318283680 in words is "eighty-three trillion, seven hundred forty-five billion, three hundred eighteen million, two hundred eighty-three thousand, six hundred eighty".