9684074400 has 1152 divisors, whose sum is σ = 44097177600. Its totient is φ = 1780531200.

The previous prime is 9684074377. The next prime is 9684074401. The reversal of 9684074400 is 44704869.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (9684074401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 69669531 + ... + 69669669.

It is an arithmetic number, because the mean of its divisors is an integer number (38278800).

Almost surely, 2^9684074400 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 9684074400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22048588800).

9684074400 is an abundant number, since it is smaller than the sum of its proper divisors (34413103200).

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

9684074400 is a wasteful number, since it uses less digits than its factorization.

9684074400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 9684074400 is about 98407.6948210860. The cubic root of 9684074400 is about 2131.5034460362.

The spelling of 9684074400 in words is "nine billion, six hundred eighty-four million, seventy-four thousand, four hundred".