83484068373576 has 192 divisors, whose sum is σ = 243758398403520. Its totient is φ = 25659650465280.

The previous prime is 83484068373551. The next prime is 83484068373599. The reversal of 83484068373576 is 67537386048438.

It is a happy number.

83484068373576 is a `hidden beast` number, since 8 + 3 + 4 + 8 + 40 + 6 + 8 + 3 + 7 + 3 + 576 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8006522875 + ... + 8006533301.

It is an arithmetic number, because the mean of its divisors is an integer number (1269574991685).

Almost surely, 2^{83484068373576} 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 83484068373576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121879199201760).

83484068373576 is an abundant number, since it is smaller than the sum of its proper divisors (160274330029944).

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

83484068373576 is a wasteful number, since it uses less digits than its factorization.

83484068373576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18876 (or 18869 counting only the distinct ones).

The product of its (nonzero) digits is 1950842880, while the sum is 72.

The spelling of 83484068373576 in words is "eighty-three trillion, four hundred eighty-four billion, sixty-eight million, three hundred seventy-three thousand, five hundred seventy-six".