9688356000 has 384 divisors, whose sum is σ = 35632396800. Its totient is φ = 2556748800.

The previous prime is 9688355977. The next prime is 9688356011. The reversal of 9688356000 is 6538869.

9688356000 is a `hidden beast` number, since 9 + 6 + 8 + 8 + 35 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11771589 + ... + 11772411.

It is an arithmetic number, because the mean of its divisors is an integer number (92792700).

Almost surely, 2^9688356000 is an apocalyptic number.

9688356000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9688356000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17816198400).

9688356000 is an abundant number, since it is smaller than the sum of its proper divisors (25944040800).

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

9688356000 is a wasteful number, since it uses less digits than its factorization.

9688356000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 9688356000 is about 98429.4468134409. The cubic root of 9688356000 is about 2131.8175321711.

The spelling of 9688356000 in words is "nine billion, six hundred eighty-eight million, three hundred fifty-six thousand".