193829728116640 has 384 divisors, whose sum is σ = 594365412211200. Its totient is φ = 57959650344960.

The previous prime is 193829728116571. The next prime is 193829728116641. The reversal of 193829728116640 is 46611827928391.

It is a super-2 number, since 2×193829728116640² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (193829728116641) 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 63 ways as a sum of consecutive naturals, for example, 54365206 + ... + 57820714.

It is an arithmetic number, because the mean of its divisors is an integer number (1547826594300).

Almost surely, 2^{193829728116640} is an apocalyptic number.

193829728116640 is a gapful number since it is divisible by the number (10) 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 193829728116640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297182706105600).

193829728116640 is an abundant number, since it is smaller than the sum of its proper divisors (400535684094560).

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

193829728116640 is a wasteful number, since it uses less digits than its factorization.

193829728116640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3455728 (or 3455720 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 67.

The spelling of 193829728116640 in words is "one hundred ninety-three trillion, eight hundred twenty-nine billion, seven hundred twenty-eight million, one hundred sixteen thousand, six hundred forty".