9624780414168 has 128 divisors (see below), whose sum is σ = 24753480768000. Its totient is φ = 3117249248256.

The previous prime is 9624780414167. The next prime is 9624780414187. The reversal of 9624780414168 is 8614140874269.

It is a super-3 number, since 3×9624780414168³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9624780414167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 467234733 + ... + 467255331.

It is an arithmetic number, because the mean of its divisors is an integer number (193386568500).

Almost surely, 2^{9624780414168} 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 9624780414168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12376740384000).

9624780414168 is an abundant number, since it is smaller than the sum of its proper divisors (15128700353832).

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

9624780414168 is a wasteful number, since it uses less digits than its factorization.

9624780414168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24201 (or 24197 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 60.

The spelling of 9624780414168 in words is "nine trillion, six hundred twenty-four billion, seven hundred eighty million, four hundred fourteen thousand, one hundred sixty-eight".