9667590240 has 864 divisors, whose sum is σ = 40347901440. Its totient is φ = 1937295360.

The previous prime is 9667590217. The next prime is 9667590259. The reversal of 9667590240 is 420957669.

9667590240 = T₁ + T₂ + ... + T₃₈₇₀.

9667590240 is a nontrivial binomial coefficient, being equal to C(3872, 3).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 9667590240.

It is a congruent number.

It is an unprimeable number.

It is the 3870-th tetrahedral 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 143 ways as a sum of consecutive naturals, for example, 122374521 + ... + 122374599.

It is an arithmetic number, because the mean of its divisors is an integer number (46698960).

Almost surely, 2^9667590240 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 9667590240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20173950720).

9667590240 is an abundant number, since it is smaller than the sum of its proper divisors (30680311200).

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

9667590240 is a wasteful number, since it uses less digits than its factorization.

9667590240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The square root of 9667590240 is about 98323.9047231140. The cubic root of 9667590240 is about 2130.2933493568.

The spelling of 9667590240 in words is "nine billion, six hundred sixty-seven million, five hundred ninety thousand, two hundred forty".