82661644800 has 960 divisors, whose sum is σ = 354617303040. Its totient is φ = 18466652160.

The previous prime is 82661644727. The next prime is 82661644817. The reversal of 82661644800 is 844616628.

82661644800 is a `hidden beast` number, since 8 + 2 + 6 + 6 + 164 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

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, 113702037 + ... + 113702763.

It is an arithmetic number, because the mean of its divisors is an integer number (369393024).

Almost surely, 2^82661644800 is an apocalyptic number.

82661644800 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 82661644800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177308651520).

82661644800 is an abundant number, since it is smaller than the sum of its proper divisors (271955658240).

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

82661644800 is a wasteful number, since it uses less digits than its factorization.

82661644800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 82661644800 in words is "eighty-two billion, six hundred sixty-one million, six hundred forty-four thousand, eight hundred".