9287023680 has 896 divisors, whose sum is σ = 38916864000. Its totient is φ = 2060328960.

The previous prime is 9287023673. The next prime is 9287023727. The reversal of 9287023680 is 863207829.

9287023680 is a `hidden beast` number, since 9 + 287 + 0 + 2 + 368 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 66813051 + ... + 66813189.

It is an arithmetic number, because the mean of its divisors is an integer number (43434000).

Almost surely, 2^9287023680 is an apocalyptic number.

9287023680 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 9287023680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19458432000).

9287023680 is an abundant number, since it is smaller than the sum of its proper divisors (29629840320).

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

9287023680 is a wasteful number, since it uses less digits than its factorization.

9287023680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 9287023680 is about 96369.2050397844. The cubic root of 9287023680 is about 2101.9651808175.

The spelling of 9287023680 in words is "nine billion, two hundred eighty-seven million, twenty-three thousand, six hundred eighty".