9939464640 has 560 divisors, whose sum is σ = 41822827200. Its totient is φ = 2192375808.

The previous prime is 9939464617. The next prime is 9939464653. The reversal of 9939464640 is 464649399.

9939464640 is a `hidden beast` number, since 9 + 93 + 94 + 6 + 464 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5260816 + ... + 5262704.

It is an arithmetic number, because the mean of its divisors is an integer number (74683620).

Almost surely, 2^9939464640 is an apocalyptic number.

9939464640 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 9939464640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20911413600).

9939464640 is an abundant number, since it is smaller than the sum of its proper divisors (31883362560).

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

9939464640 is a wasteful number, since it uses less digits than its factorization.

9939464640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1954 (or 1935 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The square root of 9939464640 is about 99696.8637420456. The cubic root of 9939464640 is about 2150.0785722142.

The spelling of 9939464640 in words is "nine billion, nine hundred thirty-nine million, four hundred sixty-four thousand, six hundred forty".