9719724672 has 288 divisors, whose sum is σ = 32692994100. Its totient is φ = 2763694080.

The previous prime is 9719724671. The next prime is 9719724673. The reversal of 9719724672 is 2764279179.

9719724672 is a `hidden beast` number, since 97 + 1 + 97 + 2 + 467 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (9719724671) and next prime (9719724673).

It can be written as a sum of positive squares in 2 ways, for example, as 9593027136 + 126697536 = 97944^2 + 11256^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (2667168) is a multiple of the sum of its prime factors (864).

It is not an unprimeable number, because it can be changed into a prime (9719724671) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23087022 + ... + 23087442.

Almost surely, 2^9719724672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9719724672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16346497050).

9719724672 is an abundant number, since it is smaller than the sum of its proper divisors (22973269428).

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

9719724672 is a wasteful number, since it uses less digits than its factorization.

9719724672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864 (or 842 counting only the distinct ones).

The product of its digits is 2667168, while the sum is 54.

The square root of 9719724672 is about 98588.6640136684. The cubic root of 9719724672 is about 2134.1158320445.

The spelling of 9719724672 in words is "nine billion, seven hundred nineteen million, seven hundred twenty-four thousand, six hundred seventy-two".