9679604400 has 180 divisors, whose sum is σ = 33969466440. Its totient is φ = 2552140800.

The previous prime is 9679604371. The next prime is 9679604413. The reversal of 9679604400 is 44069769.

It is a tau number, because it is divible by the number of its divisors (180).

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

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 35 ways as a sum of consecutive naturals, for example, 305295 + ... + 335505.

It is an arithmetic number, because the mean of its divisors is an integer number (188719258).

Almost surely, 2^9679604400 is an apocalyptic number.

9679604400 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 9679604400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16984733220).

9679604400 is an abundant number, since it is smaller than the sum of its proper divisors (24289862040).

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

9679604400 is a wasteful number, since it uses less digits than its factorization.

9679604400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30324 (or 30310 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 9679604400 is about 98384.9805610592. The cubic root of 9679604400 is about 2131.1754406140.

The spelling of 9679604400 in words is "nine billion, six hundred seventy-nine million, six hundred four thousand, four hundred".