83584327680 has 1120 divisors, whose sum is σ = 353967166080. Its totient is φ = 18473287680.

The previous prime is 83584327649. The next prime is 83584327769. The reversal of 83584327680 is 8672348538.

83584327680 is a `hidden beast` number, since 83 + 58 + 432 + 7 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a super-2 number, since 2×83584327680² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1370234850 + ... + 1370234910.

Almost surely, 2^83584327680 is an apocalyptic number.

83584327680 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 83584327680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176983583040).

83584327680 is an abundant number, since it is smaller than the sum of its proper divisors (270382838400).

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

83584327680 is an equidigital number, since it uses as much as digits as its factorization.

83584327680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 83584327680 in words is "eighty-three billion, five hundred eighty-four million, three hundred twenty-seven thousand, six hundred eighty".