9719922240 has 504 divisors, whose sum is σ = 40347058752. Its totient is φ = 2220825600.

The previous prime is 9719922239. The next prime is 9719922259. The reversal of 9719922240 is 422299179.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3808965 + ... + 3811515.

It is an arithmetic number, because the mean of its divisors is an integer number (80053688).

Almost surely, 2^9719922240 is an apocalyptic number.

9719922240 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 9719922240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20173529376).

9719922240 is an abundant number, since it is smaller than the sum of its proper divisors (30627136512).

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

9719922240 is a wasteful number, since it uses less digits than its factorization.

9719922240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2597 (or 2568 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 9719922240 is about 98589.6659898998. The cubic root of 9719922240 is about 2134.1302916496.

The spelling of 9719922240 in words is "nine billion, seven hundred nineteen million, nine hundred twenty-two thousand, two hundred forty".