82667731328800 has 108 divisors (see below), whose sum is σ = 202459619704230. Its totient is φ = 32961415618560.

The previous prime is 82667731328797. The next prime is 82667731328813. The reversal of 82667731328800 is 882313776628.

It can be written as a sum of positive squares in 9 ways, for example, as 4413679967376 + 78254051361424 = 2100876^2 + 8846132^2 .

It is a super-2 number, since 2×82667731328800² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 77847816 + ... + 78902584.

Almost surely, 2^{82667731328800} is an apocalyptic number.

82667731328800 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 82667731328800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101229809852115).

82667731328800 is an abundant number, since it is smaller than the sum of its proper divisors (119791888375430).

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

82667731328800 is a wasteful number, since it uses less digits than its factorization.

82667731328800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055415 (or 1055089 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 61.

The spelling of 82667731328800 in words is "eighty-two trillion, six hundred sixty-seven billion, seven hundred thirty-one million, three hundred twenty-eight thousand, eight hundred".