9706314240 has 560 divisors, whose sum is σ = 39930979968. Its totient is φ = 2215600128.

The previous prime is 9706314199. The next prime is 9706314253. The reversal of 9706314240 is 424136079.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-2 number, since 2×9706314240² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 9706314195 and 9706314204.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 13063309 + ... + 13064051.

Almost surely, 2^9706314240 is an apocalyptic number.

9706314240 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 9706314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19965489984).

9706314240 is an abundant number, since it is smaller than the sum of its proper divisors (30224665728).

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

9706314240 is an frugal number, since it uses more digits than its factorization.

9706314240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 9706314240 is about 98520.6284998223. The cubic root of 9706314240 is about 2133.1338910772.

The spelling of 9706314240 in words is "nine billion, seven hundred six million, three hundred fourteen thousand, two hundred forty".