9644389951680 has 1344 divisors, whose sum is σ = 38745629798400. Its totient is φ = 2254318387200.

The previous prime is 9644389951657. The next prime is 9644389951697. The reversal of 9644389951680 is 861599834469.

9644389951680 is a `hidden beast` number, since 9 + 6 + 443 + 8 + 9 + 95 + 16 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 9644389951599 and 9644389951608.

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 191 ways as a sum of consecutive naturals, for example, 16949718436 + ... + 16949719004.

It is an arithmetic number, because the mean of its divisors is an integer number (28828593600).

Almost surely, 2^{9644389951680} is an apocalyptic number.

9644389951680 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 9644389951680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19372814899200).

9644389951680 is an abundant number, since it is smaller than the sum of its proper divisors (29101239846720).

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

9644389951680 is a wasteful number, since it uses less digits than its factorization.

9644389951680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 403107840, while the sum is 72.

The spelling of 9644389951680 in words is "nine trillion, six hundred forty-four billion, three hundred eighty-nine million, nine hundred fifty-one thousand, six hundred eighty".