9906440544 has 432 divisors, whose sum is σ = 38507873040. Its totient is φ = 2374686720.

The previous prime is 9906440539. The next prime is 9906440573. The reversal of 9906440544 is 4450446099.

9906440544 is a `hidden beast` number, since 9 + 9 + 0 + 64 + 40 + 544 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 9906440544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2015562 + ... + 2020470.

It is an arithmetic number, because the mean of its divisors is an integer number (89138595).

Almost surely, 2^9906440544 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 9906440544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19253936520).

9906440544 is an abundant number, since it is smaller than the sum of its proper divisors (28601432496).

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

9906440544 is a wasteful number, since it uses less digits than its factorization.

9906440544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4963 (or 4945 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 9906440544 is about 99531.1033998920. The cubic root of 9906440544 is about 2147.6947018839.

The spelling of 9906440544 in words is "nine billion, nine hundred six million, four hundred forty thousand, five hundred forty-four".