9427253760 has 480 divisors, whose sum is σ = 34379085312. Its totient is φ = 2384363520.

The previous prime is 9427253747. The next prime is 9427253767. The reversal of 9427253760 is 673527249.

9427253760 is a `hidden beast` number, since 9 + 4 + 272 + 5 + 376 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×9427253760² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (9427253767) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 47853982 + ... + 47854178.

Almost surely, 2^9427253760 is an apocalyptic number.

9427253760 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 9427253760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17189542656).

9427253760 is an abundant number, since it is smaller than the sum of its proper divisors (24951831552).

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

9427253760 is a wasteful number, since it uses less digits than its factorization.

9427253760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 9427253760 is about 97094.0459554550. The cubic root of 9427253760 is about 2112.4919652834.

The spelling of 9427253760 in words is "nine billion, four hundred twenty-seven million, two hundred fifty-three thousand, seven hundred sixty".