83006320320 has 448 divisors, whose sum is σ = 365087001600. Its totient is φ = 17247928320.

The previous prime is 83006320297. The next prime is 83006320337. The reversal of 83006320320 is 2302360038.

83006320320 is a `hidden beast` number, since 8 + 3 + 0 + 0 + 632 + 0 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 602896 + ... + 727664.

Almost surely, 2^83006320320 is an apocalyptic number.

83006320320 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 83006320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182543500800).

83006320320 is an abundant number, since it is smaller than the sum of its proper divisors (282080681280).

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

83006320320 is a wasteful number, since it uses less digits than its factorization.

83006320320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124813 (or 124797 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 83006320320 its reverse (2302360038), we get a palindrome (85308680358).

The spelling of 83006320320 in words is "eighty-three billion, six million, three hundred twenty thousand, three hundred twenty".