9285214680 has 512 divisors, whose sum is σ = 36557568000. Its totient is φ = 2078244864.

The previous prime is 9285214669. The next prime is 9285214699. The reversal of 9285214680 is 864125829.

9285214680 is a `hidden beast` number, since 9 + 2 + 8 + 521 + 46 + 80 = 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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 36129112 + ... + 36129368.

It is an arithmetic number, because the mean of its divisors is an integer number (71401500).

Almost surely, 2^9285214680 is an apocalyptic number.

9285214680 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 9285214680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18278784000).

9285214680 is an abundant number, since it is smaller than the sum of its proper divisors (27272353320).

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

9285214680 is a wasteful number, since it uses less digits than its factorization.

9285214680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 9285214680 is about 96359.8188043128. The cubic root of 9285214680 is about 2101.8286928152.

The spelling of 9285214680 in words is "nine billion, two hundred eighty-five million, two hundred fourteen thousand, six hundred eighty".