82379876064 has 48 divisors (see below), whose sum is σ = 216435017232. Its totient is φ = 27436105728.

The previous prime is 82379876023. The next prime is 82379876077. The reversal of 82379876064 is 46067897328.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 82379875989 and 82379876007.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 261439 + ... + 482814.

It is an arithmetic number, because the mean of its divisors is an integer number (4509062859).

Almost surely, 2^82379876064 is an apocalyptic number.

It is an amenable number.

82379876064 is an abundant number, since it is smaller than the sum of its proper divisors (134055141168).

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

82379876064 is a wasteful number, since it uses less digits than its factorization.

82379876064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745419 (or 745411 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 60.

The spelling of 82379876064 in words is "eighty-two billion, three hundred seventy-nine million, eight hundred seventy-six thousand, sixty-four".