82061033472 has 640 divisors, whose sum is σ = 289910016000. Its totient is φ = 22649241600.

The previous prime is 82061033443. The next prime is 82061033491. The reversal of 82061033472 is 27433016028.

It is a happy number.

82061033472 is a `hidden beast` number, since 8 + 2 + 0 + 610 + 3 + 34 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2647130097 + ... + 2647130127.

It is an arithmetic number, because the mean of its divisors is an integer number (452984400).

Almost surely, 2^82061033472 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 82061033472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144955008000).

82061033472 is an abundant number, since it is smaller than the sum of its proper divisors (207848982528).

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

82061033472 is an equidigital number, since it uses as much as digits as its factorization.

82061033472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 82061033472 in words is "eighty-two billion, sixty-one million, thirty-three thousand, four hundred seventy-two".