82674946800 has 360 divisors, whose sum is σ = 290139031104. Its totient is φ = 21799895040.

The previous prime is 82674946793. The next prime is 82674946811. The reversal of 82674946800 is 864947628.

82674946800 is a `hidden beast` number, since 82 + 67 + 49 + 468 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 178563369 + ... + 178563831.

Almost surely, 2^82674946800 is an apocalyptic number.

82674946800 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 82674946800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145069515552).

82674946800 is an abundant number, since it is smaller than the sum of its proper divisors (207464084304).

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

82674946800 is a wasteful number, since it uses less digits than its factorization.

82674946800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 82674946800 in words is "eighty-two billion, six hundred seventy-four million, nine hundred forty-six thousand, eight hundred".