9693456864 has 192 divisors, whose sum is σ = 31567527936. Its totient is φ = 2536095744.

The previous prime is 9693456811. The next prime is 9693456893. The reversal of 9693456864 is 4686543969.

It is a junction number, because it is equal to n+sod(n) for n = 9693456798 and 9693456807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1105104 + ... + 1113840.

It is an arithmetic number, because the mean of its divisors is an integer number (164414208).

Almost surely, 2^9693456864 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 9693456864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15783763968).

9693456864 is an abundant number, since it is smaller than the sum of its proper divisors (21874071072).

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

9693456864 is a wasteful number, since it uses less digits than its factorization.

9693456864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8897 (or 8889 counting only the distinct ones).

The product of its digits is 33592320, while the sum is 60.

The square root of 9693456864 is about 98455.3546740857. The cubic root of 9693456864 is about 2132.1915964423.

The spelling of 9693456864 in words is "nine billion, six hundred ninety-three million, four hundred fifty-six thousand, eight hundred sixty-four".