83875433726070 has 768 divisors, whose sum is σ = 290932804270080. Its totient is φ = 17051247747072.

The previous prime is 83875433726069. The next prime is 83875433726171. The reversal of 83875433726070 is 7062733457838.

It is a happy number.

83875433726070 is a `hidden beast` number, since 8 + 3 + 8 + 7 + 5 + 433 + 72 + 60 + 70 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 83875433725989 and 83875433726007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 429255514 + ... + 429450866.

It is an arithmetic number, because the mean of its divisors is an integer number (378818755560).

Almost surely, 2^{83875433726070} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83875433726070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145466402135040).

83875433726070 is an abundant number, since it is smaller than the sum of its proper divisors (207057370544010).

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

83875433726070 is a wasteful number, since it uses less digits than its factorization.

83875433726070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195506 (or 195493 counting only the distinct ones).

The product of its (nonzero) digits is 142248960, while the sum is 63.

The spelling of 83875433726070 in words is "eighty-three trillion, eight hundred seventy-five billion, four hundred thirty-three million, seven hundred twenty-six thousand, seventy".