82632262752 has 288 divisors, whose sum is σ = 263458409760. Its totient is φ = 25326120960.

The previous prime is 82632262751. The next prime is 82632262789. The reversal of 82632262752 is 25726223628.

It is a happy number.

82632262752 is a `hidden beast` number, since 8 + 2 + 632 + 2 + 6 + 2 + 7 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×82632262752² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82632262698 and 82632262707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82632262751) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28404274 + ... + 28407182.

It is an arithmetic number, because the mean of its divisors is an integer number (914786145).

Almost surely, 2^82632262752 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 82632262752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131729204880).

82632262752 is an abundant number, since it is smaller than the sum of its proper divisors (180826147008).

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

82632262752 is a wasteful number, since it uses less digits than its factorization.

82632262752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3228 (or 3208 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The spelling of 82632262752 in words is "eighty-two billion, six hundred thirty-two million, two hundred sixty-two thousand, seven hundred fifty-two".