9688426800 has 240 divisors, whose sum is σ = 35182748160. Its totient is φ = 2259256320.

The previous prime is 9688426789. The next prime is 9688426831. The reversal of 9688426800 is 86248869.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×9688426800² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 280057 + ... + 312743.

It is an arithmetic number, because the mean of its divisors is an integer number (146594784).

Almost surely, 2^9688426800 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 9688426800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17591374080).

9688426800 is an abundant number, since it is smaller than the sum of its proper divisors (25494321360).

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

9688426800 is a wasteful number, since it uses less digits than its factorization.

9688426800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32740 (or 32729 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 51.

The square root of 9688426800 is about 98429.8064612544. The cubic root of 9688426800 is about 2131.8227250822.

The spelling of 9688426800 in words is "nine billion, six hundred eighty-eight million, four hundred twenty-six thousand, eight hundred".