19730329920 has 560 divisors, whose sum is σ = 82406459520. Its totient is φ = 4386410496.

The previous prime is 19730329907. The next prime is 19730329921. The reversal of 19730329920 is 2992303791.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19730329921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6711811 + ... + 6714749.

It is an arithmetic number, because the mean of its divisors is an integer number (147154392).

Almost surely, 2^19730329920 is an apocalyptic number.

19730329920 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 19730329920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41203229760).

19730329920 is an abundant number, since it is smaller than the sum of its proper divisors (62676129600).

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

19730329920 is a wasteful number, since it uses less digits than its factorization.

19730329920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3012 (or 2993 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The spelling of 19730329920 in words is "nineteen billion, seven hundred thirty million, three hundred twenty-nine thousand, nine hundred twenty".