9945692568 has 384 divisors, whose sum is σ = 34133299200. Its totient is φ = 2651273856.

The previous prime is 9945692551. The next prime is 9945692573. The reversal of 9945692568 is 8652965499.

9945692568 is a `hidden beast` number, since 9 + 9 + 4 + 5 + 69 + 2 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13457943 + ... + 13458681.

It is an arithmetic number, because the mean of its divisors is an integer number (88888800).

Almost surely, 2^9945692568 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 9945692568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17066649600).

9945692568 is an abundant number, since it is smaller than the sum of its proper divisors (24187606632).

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

9945692568 is a wasteful number, since it uses less digits than its factorization.

9945692568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833 (or 817 counting only the distinct ones).

The product of its digits is 41990400, while the sum is 63.

The square root of 9945692568 is about 99728.0931733882. The cubic root of 9945692568 is about 2150.5275480637.

The spelling of 9945692568 in words is "nine billion, nine hundred forty-five million, six hundred ninety-two thousand, five hundred sixty-eight".