82460644600 has 72 divisors (see below), whose sum is σ = 195888009240. Its totient is φ = 32282292160.

The previous prime is 82460644589. The next prime is 82460644603. The reversal of 82460644600 is 644606428.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82460644603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 348477 + ... + 535123.

It is an arithmetic number, because the mean of its divisors is an integer number (2720666795).

Almost surely, 2^82460644600 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 82460644600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97944004620).

82460644600 is an abundant number, since it is smaller than the sum of its proper divisors (113427364640).

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

82460644600 is a wasteful number, since it uses less digits than its factorization.

82460644600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186757 (or 186701 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 40.

The spelling of 82460644600 in words is "eighty-two billion, four hundred sixty million, six hundred forty-four thousand, six hundred".