82949307840 has 672 divisors, whose sum is σ = 343806353280. Its totient is φ = 17953947648.

The previous prime is 82949307827. The next prime is 82949307841. The reversal of 82949307840 is 4870394928.

82949307840 is a `hidden beast` number, since 8 + 294 + 9 + 307 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×82949307840² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82949307841) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 30984582 + ... + 30987258.

Almost surely, 2^82949307840 is an apocalyptic number.

82949307840 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 82949307840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171903176640).

82949307840 is an abundant number, since it is smaller than the sum of its proper divisors (260857045440).

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

82949307840 is a wasteful number, since it uses less digits than its factorization.

82949307840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2789 (or 2776 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 82949307840 in words is "eighty-two billion, nine hundred forty-nine million, three hundred seven thousand, eight hundred forty".