9678967280064 has 448 divisors, whose sum is σ = 30258232396800. Its totient is φ = 3028161024000.

The previous prime is 9678967280053. The next prime is 9678967280069. The reversal of 9678967280064 is 4600827698769.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 9678967279974 and 9678967280001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9678967280069) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3394936239 + ... + 3394939089.

Almost surely, 2^{9678967280064} 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 9678967280064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15129116198400).

9678967280064 is an abundant number, since it is smaller than the sum of its proper divisors (20579265116736).

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

9678967280064 is a wasteful number, since it uses less digits than its factorization.

9678967280064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4769 (or 4753 counting only the distinct ones).

The product of its (nonzero) digits is 438939648, while the sum is 72.

The spelling of 9678967280064 in words is "nine trillion, six hundred seventy-eight billion, nine hundred sixty-seven million, two hundred eighty thousand, sixty-four".