82879856640 has 960 divisors, whose sum is σ = 346522821120. Its totient is φ = 18402508800.

The previous prime is 82879856627. The next prime is 82879856651. The reversal of 82879856640 is 4665897828.

82879856640 is a `hidden beast` number, since 8 + 28 + 7 + 9 + 8 + 566 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 820592590 + ... + 820592690.

It is an arithmetic number, because the mean of its divisors is an integer number (360961272).

Almost surely, 2^82879856640 is an apocalyptic number.

82879856640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82879856640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173261410560).

82879856640 is an abundant number, since it is smaller than the sum of its proper divisors (263642964480).

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

82879856640 is a wasteful number, since it uses less digits than its factorization.

82879856640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 82879856640 in words is "eighty-two billion, eight hundred seventy-nine million, eight hundred fifty-six thousand, six hundred forty".