83646764208 has 160 divisors (see below), whose sum is σ = 275791633920. Its totient is φ = 23777591040.

The previous prime is 83646764203. The next prime is 83646764233. The reversal of 83646764208 is 80246764638.

83646764208 is a `hidden beast` number, since 8 + 364 + 6 + 76 + 4 + 208 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (83646764203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 525523 + ... + 665933.

It is an arithmetic number, because the mean of its divisors is an integer number (1723697712).

Almost surely, 2^83646764208 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 83646764208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137895816960).

83646764208 is an abundant number, since it is smaller than the sum of its proper divisors (192144869712).

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

83646764208 is a wasteful number, since it uses less digits than its factorization.

83646764208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140632 (or 140620 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 83646764208 in words is "eighty-three billion, six hundred forty-six million, seven hundred sixty-four thousand, two hundred eight".