9564646465440 has 576 divisors, whose sum is σ = 37438335043200. Its totient is φ = 2202039705600.

The previous prime is 9564646465403. The next prime is 9564646465459. The reversal of 9564646465440 is 445646464659.

9564646465440 is a `hidden beast` number, since 9 + 5 + 6 + 4 + 6 + 46 + 46 + 544 + 0 = 666.

It is a super-2 number, since 2×9564646465440² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27850291 + ... + 28191629.

It is an arithmetic number, because the mean of its divisors is an integer number (64997109450).

Almost surely, 2^{9564646465440} is an apocalyptic number.

9564646465440 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 9564646465440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18719167521600).

9564646465440 is an abundant number, since it is smaller than the sum of its proper divisors (27873688577760).

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

9564646465440 is a wasteful number, since it uses less digits than its factorization.

9564646465440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341461 (or 341450 counting only the distinct ones).

The product of its (nonzero) digits is 298598400, while the sum is 63.

The spelling of 9564646465440 in words is "nine trillion, five hundred sixty-four billion, six hundred forty-six million, four hundred sixty-five thousand, four hundred forty".