83270633472 has 576 divisors, whose sum is σ = 274290569280. Its totient is φ = 25082265600.

The previous prime is 83270633441. The next prime is 83270633497. The reversal of 83270633472 is 27433607238.

83270633472 is a `hidden beast` number, since 8 + 3 + 2 + 7 + 0 + 633 + 4 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 394647447 + ... + 394647657.

It is an arithmetic number, because the mean of its divisors is an integer number (476198905).

Almost surely, 2^83270633472 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 83270633472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137145284640).

83270633472 is an abundant number, since it is smaller than the sum of its proper divisors (191019935808).

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

83270633472 is a wasteful number, since it uses less digits than its factorization.

83270633472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 83270633472 in words is "eighty-three billion, two hundred seventy million, six hundred thirty-three thousand, four hundred seventy-two".