9706253760 has 672 divisors, whose sum is σ = 40678364160. Its totient is φ = 2134149120.

The previous prime is 9706253743. The next prime is 9706253779. The reversal of 9706253760 is 673526079.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×9706253760² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58121197 + ... + 58121363.

It is an arithmetic number, because the mean of its divisors is an integer number (60533280).

Almost surely, 2^9706253760 is an apocalyptic number.

9706253760 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 9706253760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20339182080).

9706253760 is an abundant number, since it is smaller than the sum of its proper divisors (30972110400).

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

9706253760 is a wasteful number, since it uses less digits than its factorization.

9706253760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The square root of 9706253760 is about 98520.3215585495. The cubic root of 9706253760 is about 2133.1294605522.

The spelling of 9706253760 in words is "nine billion, seven hundred six million, two hundred fifty-three thousand, seven hundred sixty".