83842079020740 has 288 divisors, whose sum is σ = 275856523278336. Its totient is φ = 20529994383360.

The previous prime is 83842079020717. The next prime is 83842079020751. The reversal of 83842079020740 is 4702097024838.

It is a happy number.

83842079020740 is a `hidden beast` number, since 8 + 3 + 8 + 420 + 7 + 9 + 0 + 207 + 4 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 115560349 + ... + 116283611.

It is an arithmetic number, because the mean of its divisors is an integer number (957835150272).

Almost surely, 2^{83842079020740} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83842079020740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137928261639168).

83842079020740 is an abundant number, since it is smaller than the sum of its proper divisors (192014444257596).

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

83842079020740 is a wasteful number, since it uses less digits than its factorization.

83842079020740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724219 (or 724214 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 83842079020740 in words is "eighty-three trillion, eight hundred forty-two billion, seventy-nine million, twenty thousand, seven hundred forty".