8906730487200 has 3456 divisors, whose sum is σ = 42608477882880. Its totient is φ = 1698427699200.

The previous prime is 8906730487169. The next prime is 8906730487217. The reversal of 8906730487200 is 27840376098.

8906730487200 is a `hidden beast` number, since 8 + 90 + 6 + 73 + 0 + 487 + 2 + 0 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 28096941442 + ... + 28096941758.

It is an arithmetic number, because the mean of its divisors is an integer number (12328841980).

Almost surely, 2^{8906730487200} is an apocalyptic number.

8906730487200 is a gapful number since it is divisible by the number (80) 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 8906730487200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21304238941440).

8906730487200 is an abundant number, since it is smaller than the sum of its proper divisors (33701747395680).

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

8906730487200 is a wasteful number, since it uses less digits than its factorization.

8906730487200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 8906730487200 in words is "eight trillion, nine hundred six billion, seven hundred thirty million, four hundred eighty-seven thousand, two hundred".