193640484920 has 96 divisors (see below), whose sum is σ = 463079242080. Its totient is φ = 72860313600.

The previous prime is 193640484889. The next prime is 193640484931. The reversal of 193640484920 is 29484046391.

193640484920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 29555645 + ... + 29562195.

It is an arithmetic number, because the mean of its divisors is an integer number (4823742105).

Almost surely, 2^193640484920 is an apocalyptic number.

193640484920 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 193640484920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231539621040).

193640484920 is an abundant number, since it is smaller than the sum of its proper divisors (269438757160).

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

193640484920 is a wasteful number, since it uses less digits than its factorization.

193640484920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9153 (or 9132 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 50.

The spelling of 193640484920 in words is "one hundred ninety-three billion, six hundred forty million, four hundred eighty-four thousand, nine hundred twenty".