9276624000 has 384 divisors, whose sum is σ = 38078052480. Its totient is φ = 2120140800.

The previous prime is 9276623981. The next prime is 9276624001. The reversal of 9276624000 is 4266729.

It is a happy number.

9276624000 is a `hidden beast` number, since 9 + 27 + 6 + 624 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (9276624001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1003399 + ... + 1012601.

It is an arithmetic number, because the mean of its divisors is an integer number (99161595).

Almost surely, 2^9276624000 is an apocalyptic number.

9276624000 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 9276624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19039026240).

9276624000 is an abundant number, since it is smaller than the sum of its proper divisors (28801428480).

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

9276624000 is a wasteful number, since it uses less digits than its factorization.

9276624000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9245 (or 9220 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 9276624000 is about 96315.2324401494. The cubic root of 9276624000 is about 2101.1802888844.

The spelling of 9276624000 in words is "nine billion, two hundred seventy-six million, six hundred twenty-four thousand".