82640728576 has 160 divisors (see below), whose sum is σ = 200715546240. Its totient is φ = 33182908416.

The previous prime is 82640728567. The next prime is 82640728579. The reversal of 82640728576 is 67582704628.

It is not an unprimeable number, because it can be changed into a prime (82640728579) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13949551 + ... + 13955473.

It is an arithmetic number, because the mean of its divisors is an integer number (1254472164).

Almost surely, 2^82640728576 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 82640728576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100357773120).

82640728576 is an abundant number, since it is smaller than the sum of its proper divisors (118074817664).

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

82640728576 is a wasteful number, since it uses less digits than its factorization.

82640728576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6194 (or 6178 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 55.

The spelling of 82640728576 in words is "eighty-two billion, six hundred forty million, seven hundred twenty-eight thousand, five hundred seventy-six".