9435688704 has 720 divisors, whose sum is σ = 33655849920. Its totient is φ = 2601123840.

The previous prime is 9435688699. The next prime is 9435688783. The reversal of 9435688704 is 4078865349.

9435688704 is a `hidden beast` number, since 9 + 4 + 3 + 568 + 8 + 70 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 132896989 + ... + 132897059.

It is an arithmetic number, because the mean of its divisors is an integer number (46744236).

Almost surely, 2^9435688704 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 9435688704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16827924960).

9435688704 is an abundant number, since it is smaller than the sum of its proper divisors (24220161216).

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

9435688704 is a wasteful number, since it uses less digits than its factorization.

9435688704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The square root of 9435688704 is about 97137.4732222328. The cubic root of 9435688704 is about 2113.1218213771.

The spelling of 9435688704 in words is "nine billion, four hundred thirty-five million, six hundred eighty-eight thousand, seven hundred four".