9954664704 has 216 divisors, whose sum is σ = 31215988440. Its totient is φ = 3038183424.

The previous prime is 9954664703. The next prime is 9954664751. The reversal of 9954664704 is 4074664599.

It is a happy number.

9954664704 is a `hidden beast` number, since 99 + 546 + 6 + 4 + 7 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1768034304 + 8186630400 = 42048^2 + 90480^2 .

It is not an unprimeable number, because it can be changed into a prime (9954664703) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1445782 + ... + 1452650.

It is an arithmetic number, because the mean of its divisors is an integer number (144518465).

Almost surely, 2^9954664704 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 9954664704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15607994220).

9954664704 is an abundant number, since it is smaller than the sum of its proper divisors (21261323736).

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

9954664704 is a wasteful number, since it uses less digits than its factorization.

9954664704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6945 (or 6928 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The square root of 9954664704 is about 99773.0660248546. The cubic root of 9954664704 is about 2151.1740264720.

The spelling of 9954664704 in words is "nine billion, nine hundred fifty-four million, six hundred sixty-four thousand, seven hundred four".