9939646080 has 1280 divisors, whose sum is σ = 45616032000. Its totient is φ = 2048385024.

The previous prime is 9939646069. The next prime is 9939646081. The reversal of 9939646080 is 806469399.

It is a happy number.

9939646080 is a `hidden beast` number, since 9 + 93 + 96 + 460 + 8 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9939646081) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 231154539 + ... + 231154581.

It is an arithmetic number, because the mean of its divisors is an integer number (35637525).

Almost surely, 2^9939646080 is an apocalyptic number.

9939646080 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 9939646080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22808016000).

9939646080 is an abundant number, since it is smaller than the sum of its proper divisors (35676385920).

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

9939646080 is a wasteful number, since it uses less digits than its factorization.

9939646080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The square root of 9939646080 is about 99697.7736963068. The cubic root of 9939646080 is about 2150.0916550074.

The spelling of 9939646080 in words is "nine billion, nine hundred thirty-nine million, six hundred forty-six thousand, eighty".