9719377920 has 832 divisors, whose sum is σ = 41266913280. Its totient is φ = 2149908480.

The previous prime is 9719377919. The next prime is 9719377949. The reversal of 9719377920 is 297739179.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 313528305 + ... + 313528335.

Almost surely, 2^9719377920 is an apocalyptic number.

9719377920 is a gapful number since it is divisible by the number (90) 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 9719377920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20633456640).

9719377920 is an abundant number, since it is smaller than the sum of its proper divisors (31547535360).

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

9719377920 is an frugal number, since it uses more digits than its factorization.

9719377920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 1500282, while the sum is 54.

The square root of 9719377920 is about 98586.9054185189. The cubic root of 9719377920 is about 2134.0904534884.

The spelling of 9719377920 in words is "nine billion, seven hundred nineteen million, three hundred seventy-seven thousand, nine hundred twenty".