82673831520 has 768 divisors, whose sum is σ = 355105658880. Its totient is φ = 17533698048.

The previous prime is 82673831509. The next prime is 82673831543. The reversal of 82673831520 is 2513837628.

82673831520 is a `hidden beast` number, since 8 + 2 + 67 + 38 + 31 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 37526739 + ... + 37528941.

It is an arithmetic number, because the mean of its divisors is an integer number (462377160).

Almost surely, 2^82673831520 is an apocalyptic number.

82673831520 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 82673831520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177552829440).

82673831520 is an abundant number, since it is smaller than the sum of its proper divisors (272431827360).

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

82673831520 is a wasteful number, since it uses less digits than its factorization.

82673831520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2324 (or 2310 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 82673831520 in words is "eighty-two billion, six hundred seventy-three million, eight hundred thirty-one thousand, five hundred twenty".