82670939331840 has 504 divisors, whose sum is σ = 297038170044000. Its totient is φ = 22035197325312.

The previous prime is 82670939331821. The next prime is 82670939331889. The reversal of 82670939331840 is 4813393907628.

82670939331840 is a `hidden beast` number, since 8 + 2 + 67 + 0 + 9 + 393 + 3 + 184 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2092968411 + ... + 2093007909.

It is an arithmetic number, because the mean of its divisors is an integer number (589361448500).

Almost surely, 2^{82670939331840} is an apocalyptic number.

82670939331840 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 82670939331840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148519085022000).

82670939331840 is an abundant number, since it is smaller than the sum of its proper divisors (214367230712160).

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

82670939331840 is an equidigital number, since it uses as much as digits as its factorization.

82670939331840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41781 (or 41752 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 82670939331840 in words is "eighty-two trillion, six hundred seventy billion, nine hundred thirty-nine million, three hundred thirty-one thousand, eight hundred forty".