9738300390624 has 144 divisors (see below), whose sum is σ = 29841454620432. Its totient is φ = 2994600720384.

The previous prime is 9738300390571. The next prime is 9738300390659. The reversal of 9738300390624 is 4260930038379.

9738300390624 is a `hidden beast` number, since 9 + 7 + 3 + 8 + 3 + 0 + 0 + 3 + 9 + 0 + 624 = 666.

It is a Cunningham number, because it is equal to 3120625²-1.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5461092 + ... + 7021404.

It is an arithmetic number, because the mean of its divisors is an integer number (207232323753).

Almost surely, 2^{9738300390624} 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 9738300390624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14920727310216).

9738300390624 is an abundant number, since it is smaller than the sum of its proper divisors (20103154229808).

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

9738300390624 is a wasteful number, since it uses less digits than its factorization.

9738300390624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1562009 (or 1561998 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 9738300390624 in words is "nine trillion, seven hundred thirty-eight billion, three hundred million, three hundred ninety thousand, six hundred twenty-four".