193413949680 has 640 divisors, whose sum is σ = 730650378240. Its totient is φ = 41373573120.

The previous prime is 193413949643. The next prime is 193413949691. The reversal of 193413949680 is 86949314391.

It is a self number, because there is not a number n which added to its sum of digits gives 193413949680.

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, 538757341 + ... + 538757699.

It is an arithmetic number, because the mean of its divisors is an integer number (1141641216).

Almost surely, 2^193413949680 is an apocalyptic number.

193413949680 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 193413949680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365325189120).

193413949680 is an abundant number, since it is smaller than the sum of its proper divisors (537236428560).

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

193413949680 is a wasteful number, since it uses less digits than its factorization.

193413949680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 57.

The spelling of 193413949680 in words is "one hundred ninety-three billion, four hundred thirteen million, nine hundred forty-nine thousand, six hundred eighty".