82867641624 has 160 divisors (see below), whose sum is σ = 240021785520. Its totient is φ = 26696127744.

The previous prime is 82867641613. The next prime is 82867641671. The reversal of 82867641624 is 42614676828.

It is a happy number.

82867641624 is a `hidden beast` number, since 8 + 2 + 8 + 6 + 7 + 6 + 4 + 1 + 624 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2283042 + ... + 2319054.

Almost surely, 2^82867641624 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 82867641624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120010892760).

82867641624 is an abundant number, since it is smaller than the sum of its proper divisors (157154143896).

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

82867641624 is a wasteful number, since it uses less digits than its factorization.

82867641624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36151 (or 36138 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The spelling of 82867641624 in words is "eighty-two billion, eight hundred sixty-seven million, six hundred forty-one thousand, six hundred twenty-four".