9437849688960 has 3072 divisors, whose sum is σ = 44128932710400. Its totient is φ = 1866737664000.

The previous prime is 9437849688833. The next prime is 9437849689049. The reversal of 9437849688960 is 698869487349.

9437849688960 is a `hidden beast` number, since 9 + 4 + 37 + 8 + 496 + 8 + 8 + 96 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 9437849688960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 154718847330 + ... + 154718847390.

It is an arithmetic number, because the mean of its divisors is an integer number (14364886950).

Almost surely, 2^{9437849688960} is an apocalyptic number.

9437849688960 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 9437849688960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22064466355200).

9437849688960 is an abundant number, since it is smaller than the sum of its proper divisors (34691083021440).

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

9437849688960 is a wasteful number, since it uses less digits than its factorization.

9437849688960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 4514807808, while the sum is 81.

The spelling of 9437849688960 in words is "nine trillion, four hundred thirty-seven billion, eight hundred forty-nine million, six hundred eighty-eight thousand, nine hundred sixty".