9807146342784 has 384 divisors, whose sum is σ = 33708875054400. Its totient is φ = 2677522563072.

The previous prime is 9807146342761. The next prime is 9807146342789. The reversal of 9807146342784 is 4872436417089.

9807146342784 is a `hidden beast` number, since 9 + 8 + 0 + 71 + 4 + 63 + 427 + 84 = 666.

9807146342784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9807146342789) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22467864 + ... + 22900200.

Almost surely, 2^{9807146342784} 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 9807146342784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16854437527200).

9807146342784 is an abundant number, since it is smaller than the sum of its proper divisors (23901728711616).

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

9807146342784 is a wasteful number, since it uses less digits than its factorization.

9807146342784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432490 (or 432475 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 9807146342784 in words is "nine trillion, eight hundred seven billion, one hundred forty-six million, three hundred forty-two thousand, seven hundred eighty-four".