83340616882320 has 1600 divisors, whose sum is σ = 348225910686720. Its totient is φ = 18061393084416.

The previous prime is 83340616882283. The next prime is 83340616882331. The reversal of 83340616882320 is 2328861604338.

83340616882320 is a `hidden beast` number, since 8 + 3 + 340 + 6 + 1 + 68 + 8 + 232 + 0 = 666.

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 319 ways as a sum of consecutive naturals, for example, 100531503666 + ... + 100531504494.

Almost surely, 2^{83340616882320} is an apocalyptic number.

83340616882320 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 83340616882320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174112955343360).

83340616882320 is an abundant number, since it is smaller than the sum of its proper divisors (264885293804400).

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

83340616882320 is a wasteful number, since it uses less digits than its factorization.

83340616882320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1614 (or 1599 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 83340616882320 in words is "eighty-three trillion, three hundred forty billion, six hundred sixteen million, eight hundred eighty-two thousand, three hundred twenty".