9649967040 has 672 divisors, whose sum is σ = 41304691584. Its totient is φ = 2017198080.

The previous prime is 9649967021. The next prime is 9649967071. The reversal of 9649967040 is 407699469.

9649967040 is a `hidden beast` number, since 96 + 499 + 67 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12680260 + ... + 12681020.

Almost surely, 2^9649967040 is an apocalyptic number.

9649967040 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 9649967040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20652345792).

9649967040 is an abundant number, since it is smaller than the sum of its proper divisors (31654724544).

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

9649967040 is a wasteful number, since it uses less digits than its factorization.

9649967040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The square root of 9649967040 is about 98234.2457598164. The cubic root of 9649967040 is about 2128.9981137544.

The spelling of 9649967040 in words is "nine billion, six hundred forty-nine million, nine hundred sixty-seven thousand, forty".