9427968000 has 896 divisors, whose sum is σ = 39256289280. Its totient is φ = 2211840000.

The previous prime is 9427967987. The next prime is 9427968013. The reversal of 9427968000 is 8697249.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (9427967987) and next prime (9427968013).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 304127985 + ... + 304128015.

Almost surely, 2^9427968000 is an apocalyptic number.

9427968000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9427968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19628144640).

9427968000 is an abundant number, since it is smaller than the sum of its proper divisors (29828321280).

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

9427968000 is a wasteful number, since it uses less digits than its factorization.

9427968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 9427968000 is about 97097.7239692054. The cubic root of 9427968000 is about 2112.5453137345.

The spelling of 9427968000 in words is "nine billion, four hundred twenty-seven million, nine hundred sixty-eight thousand".