693728841168 has 480 divisors, whose sum is σ = 2343183360000. Its totient is φ = 195764532480.

The previous prime is 693728841161. The next prime is 693728841193. The reversal of 693728841168 is 861148827396.

693728841168 is a `hidden beast` number, since 6 + 93 + 72 + 8 + 8 + 411 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (693728841161) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 58590993 + ... + 58602831.

It is an arithmetic number, because the mean of its divisors is an integer number (4881632000).

Almost surely, 2^693728841168 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 693728841168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1171591680000).

693728841168 is an abundant number, since it is smaller than the sum of its proper divisors (1649454518832).

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

693728841168 is a wasteful number, since it uses less digits than its factorization.

693728841168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11956 (or 11933 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 63.

The spelling of 693728841168 in words is "six hundred ninety-three billion, seven hundred twenty-eight million, eight hundred forty-one thousand, one hundred sixty-eight".