9978233120064 has 336 divisors, whose sum is σ = 33066546333120. Its totient is φ = 2926162713600.

The previous prime is 9978233120059. The next prime is 9978233120069. The reversal of 9978233120064 is 4600213328799.

It is an interprime number because it is at equal distance from previous prime (9978233120059) and next prime (9978233120069).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9978233120069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17993562 + ... + 18539814.

Almost surely, 2^{9978233120064} 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 9978233120064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16533273166560).

9978233120064 is an abundant number, since it is smaller than the sum of its proper divisors (23088313213056).

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

9978233120064 is a wasteful number, since it uses less digits than its factorization.

9978233120064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546347 (or 546300 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 9978233120064 in words is "nine trillion, nine hundred seventy-eight billion, two hundred thirty-three million, one hundred twenty thousand, sixty-four".