9707231120064 has 672 divisors, whose sum is σ = 28722314960640. Its totient is φ = 2884341104640.

The previous prime is 9707231120053. The next prime is 9707231120071. The reversal of 9707231120064 is 4600211327079.

It is a super-3 number, since 3×9707231120064³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9707231119998 and 9707231120025.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21241205724 + ... + 21241206180.

It is an arithmetic number, because the mean of its divisors is an integer number (42741540120).

Almost surely, 2^{9707231120064} 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 9707231120064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14361157480320).

9707231120064 is an abundant number, since it is smaller than the sum of its proper divisors (19015083840576).

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

9707231120064 is a wasteful number, since it uses less digits than its factorization.

9707231120064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The spelling of 9707231120064 in words is "nine trillion, seven hundred seven billion, two hundred thirty-one million, one hundred twenty thousand, sixty-four".