9719257347072 has 1408 divisors, whose sum is σ = 37715211878400. Its totient is φ = 2399361564672.

The previous prime is 9719257347013. The next prime is 9719257347101. The reversal of 9719257347072 is 2707437529179.

9719257347072 is a `hidden beast` number, since 9 + 7 + 1 + 9 + 25 + 73 + 470 + 72 = 666.

It is a super-2 number, since 2×9719257347072² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9538034179 + ... + 9538035197.

Almost surely, 2^{9719257347072} 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 9719257347072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18857605939200).

9719257347072 is an abundant number, since it is smaller than the sum of its proper divisors (27995954531328).

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

9719257347072 is a wasteful number, since it uses less digits than its factorization.

9719257347072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1308 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 46675440, while the sum is 63.

The spelling of 9719257347072 in words is "nine trillion, seven hundred nineteen billion, two hundred fifty-seven million, three hundred forty-seven thousand, seventy-two".