82666677744 has 360 divisors, whose sum is σ = 292441044480. Its totient is φ = 21653049600.

The previous prime is 82666677707. The next prime is 82666677749. The reversal of 82666677744 is 44777666628.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82666677749) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4146039 + ... + 4165929.

Almost surely, 2^82666677744 is an apocalyptic number.

82666677744 is a gapful number since it is divisible by the number (84) 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 82666677744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146220522240).

82666677744 is an abundant number, since it is smaller than the sum of its proper divisors (209774366736).

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

82666677744 is a wasteful number, since it uses less digits than its factorization.

82666677744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19969 (or 19953 counting only the distinct ones).

The product of its digits is 113799168, while the sum is 63.

The spelling of 82666677744 in words is "eighty-two billion, six hundred sixty-six million, six hundred seventy-seven thousand, seven hundred forty-four".