9284552640 has 672 divisors, whose sum is σ = 36776436480. Its totient is φ = 2202900480.

The previous prime is 9284552639. The next prime is 9284552687. The reversal of 9284552640 is 462554829.

9284552640 is a `hidden beast` number, since 9 + 2 + 84 + 5 + 526 + 40 = 666.

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 95 ways as a sum of consecutive naturals, for example, 86771467 + ... + 86771573.

It is an arithmetic number, because the mean of its divisors is an integer number (54726840).

Almost surely, 2^9284552640 is an apocalyptic number.

9284552640 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 9284552640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18388218240).

9284552640 is an abundant number, since it is smaller than the sum of its proper divisors (27491883840).

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

9284552640 is a wasteful number, since it uses less digits than its factorization.

9284552640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 9284552640 is about 96356.3834937779. The cubic root of 9284552640 is about 2101.7787378496.

The spelling of 9284552640 in words is "nine billion, two hundred eighty-four million, five hundred fifty-two thousand, six hundred forty".