82673010900396 has 288 divisors, whose sum is σ = 248988338726400. Its totient is φ = 22629611934720.

The previous prime is 82673010900349. The next prime is 82673010900419. The reversal of 82673010900396 is 69300901037628.

82673010900396 is a `hidden beast` number, since 82 + 6 + 73 + 0 + 109 + 0 + 0 + 396 = 666.

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, 737299216 + ... + 737411336.

It is an arithmetic number, because the mean of its divisors is an integer number (864542842800).

Almost surely, 2^{82673010900396} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82673010900396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124494169363200).

82673010900396 is an abundant number, since it is smaller than the sum of its proper divisors (166315327826004).

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

82673010900396 is a wasteful number, since it uses less digits than its factorization.

82673010900396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112949 (or 112944 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 82673010900396 in words is "eighty-two trillion, six hundred seventy-three billion, ten million, nine hundred thousand, three hundred ninety-six".