9719274240 has 360 divisors, whose sum is σ = 37457714448. Its totient is φ = 2392104960.

The previous prime is 9719274233. The next prime is 9719274241. The reversal of 9719274240 is 424729179.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

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 (9719274241) 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 39 ways as a sum of consecutive naturals, for example, 1344235 + ... + 1351445.

Almost surely, 2^9719274240 is an apocalyptic number.

9719274240 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 9719274240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18728857224).

9719274240 is an abundant number, since it is smaller than the sum of its proper divisors (27738440208).

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

9719274240 is a wasteful number, since it uses less digits than its factorization.

9719274240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7257 (or 7234 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 9719274240 is about 98586.3795866346. The cubic root of 9719274240 is about 2134.0828650986.

The spelling of 9719274240 in words is "nine billion, seven hundred nineteen million, two hundred seventy-four thousand, two hundred forty".