9469978951680 has 720 divisors, whose sum is σ = 35494595856720. Its totient is φ = 2321773756416.

The previous prime is 9469978951663. The next prime is 9469978951709. The reversal of 9469978951680 is 861598799649.

9469978951680 is a `hidden beast` number, since 9 + 4 + 6 + 9 + 97 + 8 + 9 + 516 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4809354264576 + 4660624687104 = 2193024^2 + 2158848^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a self number, because there is not a number n which added to its sum of digits gives 9469978951680.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2578266324 + ... + 2578269996.

It is an arithmetic number, because the mean of its divisors is an integer number (49298049801).

Almost surely, 2^{9469978951680} is an apocalyptic number.

9469978951680 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 9469978951680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17747297928360).

9469978951680 is an abundant number, since it is smaller than the sum of its proper divisors (26024616905040).

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

9469978951680 is a wasteful number, since it uses less digits than its factorization.

9469978951680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3994 (or 3965 counting only the distinct ones).

The product of its (nonzero) digits is 2116316160, while the sum is 81.

The spelling of 9469978951680 in words is "nine trillion, four hundred sixty-nine billion, nine hundred seventy-eight million, nine hundred fifty-one thousand, six hundred eighty".