9679368000 has 224 divisors, whose sum is σ = 32645104128. Its totient is φ = 2525952000.

The previous prime is 9679367959. The next prime is 9679368007. The reversal of 9679368000 is 8639769.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9679368007) 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, 1123710 + ... + 1132290.

It is an arithmetic number, because the mean of its divisors is an integer number (145737072).

Almost surely, 2^9679368000 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 9679368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16322552064).

9679368000 is an abundant number, since it is smaller than the sum of its proper divisors (22965736128).

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

9679368000 is a wasteful number, since it uses less digits than its factorization.

9679368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8658 (or 8638 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The square root of 9679368000 is about 98383.7791508336. The cubic root of 9679368000 is about 2131.1580909388.

The spelling of 9679368000 in words is "nine billion, six hundred seventy-nine million, three hundred sixty-eight thousand".