82668677760 has 768 divisors, whose sum is σ = 315840470400. Its totient is φ = 20603289600.

The previous prime is 82668677759. The next prime is 82668677789. The reversal of 82668677760 is 6777686628.

It is a super-2 number, since 2×82668677760² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 298442742 + ... + 298443018.

Almost surely, 2^82668677760 is an apocalyptic number.

82668677760 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 82668677760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157920235200).

82668677760 is an abundant number, since it is smaller than the sum of its proper divisors (233171792640).

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

82668677760 is a wasteful number, since it uses less digits than its factorization.

82668677760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 63.

The spelling of 82668677760 in words is "eighty-two billion, six hundred sixty-eight million, six hundred seventy-seven thousand, seven hundred sixty".