9735947612160 has 1248 divisors, whose sum is σ = 39786601161216. Its totient is φ = 1989240422400.

The previous prime is 9735947612143. The next prime is 9735947612173. The reversal of 9735947612160 is 612167495379.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 9735947612094 and 9735947612103.

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 95 ways as a sum of consecutive naturals, for example, 3174418947 + ... + 3174422013.

It is an arithmetic number, because the mean of its divisors is an integer number (31880289392).

Almost surely, 2^{9735947612160} 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 9735947612160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19893300580608).

9735947612160 is an abundant number, since it is smaller than the sum of its proper divisors (30050653549056).

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

9735947612160 is a wasteful number, since it uses less digits than its factorization.

9735947612160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3189 (or 3156 counting only the distinct ones).

The product of its (nonzero) digits is 17146080, while the sum is 60.

The spelling of 9735947612160 in words is "nine trillion, seven hundred thirty-five billion, nine hundred forty-seven million, six hundred twelve thousand, one hundred sixty".