82729292640 has 96 divisors (see below), whose sum is σ = 261385076736. Its totient is φ = 21994452480.

The previous prime is 82729292627. The next prime is 82729292647. The reversal of 82729292640 is 4629292728.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82729292647) 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, 101472 + ... + 419231.

It is an arithmetic number, because the mean of its divisors is an integer number (2722761216).

Almost surely, 2^82729292640 is an apocalyptic number.

82729292640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82729292640 is an abundant number, since it is smaller than the sum of its proper divisors (178655784096).

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

82729292640 is a wasteful number, since it uses less digits than its factorization.

82729292640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521052 (or 521044 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 82729292640 in words is "eighty-two billion, seven hundred twenty-nine million, two hundred ninety-two thousand, six hundred forty".