9648350709120 has 128 divisors (see below), whose sum is σ = 34171242156000. Its totient is φ = 2572893517824.

The previous prime is 9648350709113. The next prime is 9648350709133. The reversal of 9648350709120 is 219070538469.

9648350709120 is a `hidden beast` number, since 9 + 6 + 4 + 8 + 3 + 507 + 0 + 9 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279159535 + ... + 279194094.

It is a 1-persistent number, because it is pandigital, but 2⋅9648350709120 = 19296701418240 is not.

Almost surely, 2^{9648350709120} is an apocalyptic number.

9648350709120 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9648350709120 is an abundant number, since it is smaller than the sum of its proper divisors (24522891446880).

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

9648350709120 is a wasteful number, since it uses less digits than its factorization.

9648350709120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558353657 (or 558353639 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 9648350709120 in words is "nine trillion, six hundred forty-eight billion, three hundred fifty million, seven hundred nine thousand, one hundred twenty".