9794340864 has 576 divisors, whose sum is σ = 36141880320. Its totient is φ = 2481684480.

The previous prime is 9794340863. The next prime is 9794340893. The reversal of 9794340864 is 4680434979.

It is a happy number.

9794340864 is a `hidden beast` number, since 97 + 94 + 3 + 408 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×9794340864² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 9794340864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9794340863) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95090637 + ... + 95090739.

It is an arithmetic number, because the mean of its divisors is an integer number (62746320).

Almost surely, 2^9794340864 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 9794340864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18070940160).

9794340864 is an abundant number, since it is smaller than the sum of its proper divisors (26347539456).

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

9794340864 is a wasteful number, since it uses less digits than its factorization.

9794340864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The square root of 9794340864 is about 98966.3622853745. The cubic root of 9794340864 is about 2139.5629631304.

The spelling of 9794340864 in words is "nine billion, seven hundred ninety-four million, three hundred forty thousand, eight hundred sixty-four".