68583184320 has 672 divisors, whose sum is σ = 278263185408. Its totient is φ = 13969096704.

The previous prime is 68583184297. The next prime is 68583184367. The reversal of 68583184320 is 2348138586.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 68583184320.

It is a congruent number.

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, 41239809 + ... + 41241471.

Almost surely, 2^68583184320 is an apocalyptic number.

68583184320 is a gapful number since it is divisible by the number (60) 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 68583184320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139131592704).

68583184320 is an abundant number, since it is smaller than the sum of its proper divisors (209680001088).

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

68583184320 is a wasteful number, since it uses less digits than its factorization.

68583184320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1745 (or 1716 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The spelling of 68583184320 in words is "sixty-eight billion, five hundred eighty-three million, one hundred eighty-four thousand, three hundred twenty".