83688643584 has 1408 divisors, whose sum is σ = 334542028800. Its totient is φ = 20065812480.

The previous prime is 83688643573. The next prime is 83688643637. The reversal of 83688643584 is 48534688638.

83688643584 is a `hidden beast` number, since 8 + 3 + 6 + 8 + 8 + 6 + 43 + 584 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2261855214 + ... + 2261855250.

Almost surely, 2^83688643584 is an apocalyptic number.

83688643584 is a gapful number since it is divisible by the number (84) 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 83688643584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167271014400).

83688643584 is an abundant number, since it is smaller than the sum of its proper divisors (250853385216).

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

83688643584 is a wasteful number, since it uses less digits than its factorization.

83688643584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 122 counting only the distinct ones).

The product of its digits is 106168320, while the sum is 63.

The spelling of 83688643584 in words is "eighty-three billion, six hundred eighty-eight million, six hundred forty-three thousand, five hundred eighty-four".