9640097280 has 640 divisors, whose sum is σ = 38654668800. Its totient is φ = 2256076800.

The previous prime is 9640097267. The next prime is 9640097293. The reversal of 9640097280 is 827900469.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (9640097267) and next prime (9640097293).

It is a tau number, because it is divible by the number of its divisors (640).

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 63 ways as a sum of consecutive naturals, for example, 23569716 + ... + 23570124.

It is an arithmetic number, because the mean of its divisors is an integer number (60397920).

Almost surely, 2^9640097280 is an apocalyptic number.

9640097280 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 9640097280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19327334400).

9640097280 is an abundant number, since it is smaller than the sum of its proper divisors (29014571520).

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

9640097280 is a wasteful number, since it uses less digits than its factorization.

9640097280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 9640097280 is about 98183.9970667318. The cubic root of 9640097280 is about 2128.2720363776.

The spelling of 9640097280 in words is "nine billion, six hundred forty million, ninety-seven thousand, two hundred eighty".