9746640944064 has 280 divisors, whose sum is σ = 30157524574848. Its totient is φ = 3106671321600.

The previous prime is 9746640944011. The next prime is 9746640944107. The reversal of 9746640944064 is 4604490466479.

9746640944064 is a `hidden beast` number, since 9 + 7 + 466 + 40 + 94 + 40 + 6 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 9746640943992 and 9746640944010.

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 39 ways as a sum of consecutive naturals, for example, 459151819 + ... + 459173045.

Almost surely, 2^{9746640944064} 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 9746640944064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15078762287424).

9746640944064 is an abundant number, since it is smaller than the sum of its proper divisors (20410883630784).

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

9746640944064 is a wasteful number, since it uses less digits than its factorization.

9746640944064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25125 (or 25106 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 63.

The spelling of 9746640944064 in words is "nine trillion, seven hundred forty-six billion, six hundred forty million, nine hundred forty-four thousand, sixty-four".