82447136736 has 192 divisors, whose sum is σ = 228273002496. Its totient is φ = 26022297600.

The previous prime is 82447136729. The next prime is 82447136743. The reversal of 82447136736 is 63763174428.

It is an interprime number because it is at equal distance from previous prime (82447136729) and next prime (82447136743).

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, 28458040 + ... + 28460936.

It is an arithmetic number, because the mean of its divisors is an integer number (1188921888).

Almost surely, 2^82447136736 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 82447136736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114136501248).

82447136736 is an abundant number, since it is smaller than the sum of its proper divisors (145825865760).

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

82447136736 is a wasteful number, since it uses less digits than its factorization.

82447136736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3145 (or 3137 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 51.

The spelling of 82447136736 in words is "eighty-two billion, four hundred forty-seven million, one hundred thirty-six thousand, seven hundred thirty-six".