9678609408 has 352 divisors, whose sum is σ = 29423741760. Its totient is φ = 2807562240.

The previous prime is 9678609407. The next prime is 9678609431. The reversal of 9678609408 is 8049068769.

It is a super-2 number, since 2×9678609408² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9678609407) 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, 70646716 + ... + 70646852.

Almost surely, 2^9678609408 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 9678609408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14711870880).

9678609408 is an abundant number, since it is smaller than the sum of its proper divisors (19745132352).

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

9678609408 is a wasteful number, since it uses less digits than its factorization.

9678609408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 57.

The square root of 9678609408 is about 98379.9238056220. The cubic root of 9678609408 is about 2131.1024150684.

The spelling of 9678609408 in words is "nine billion, six hundred seventy-eight million, six hundred nine thousand, four hundred eight".