9718052864 has 192 divisors, whose sum is σ = 21844105920. Its totient is φ = 4293918720.

The previous prime is 9718052863. The next prime is 9718052879. The reversal of 9718052864 is 4682508179.

It is a super-3 number, since 3×9718052864³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9718052863) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 100186064 + ... + 100186160.

It is an arithmetic number, because the mean of its divisors is an integer number (113771385).

Almost surely, 2^9718052864 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 9718052864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10922052960).

9718052864 is an abundant number, since it is smaller than the sum of its proper divisors (12126053056).

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

9718052864 is a wasteful number, since it uses less digits than its factorization.

9718052864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 50.

The square root of 9718052864 is about 98580.1849460631. The cubic root of 9718052864 is about 2133.9934679304.

The spelling of 9718052864 in words is "nine billion, seven hundred eighteen million, fifty-two thousand, eight hundred sixty-four".