9487434240 has 240 divisors, whose sum is σ = 32962901400. Its totient is φ = 2521890816.

The previous prime is 9487434221. The next prime is 9487434263. The reversal of 9487434240 is 424347849.

It can be written as a sum of positive squares in 4 ways, for example, as 9429186816 + 58247424 = 97104^2 + 7632^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×9487434240² (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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11726956 + ... + 11727764.

Almost surely, 2^9487434240 is an apocalyptic number.

9487434240 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 9487434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16481450700).

9487434240 is an abundant number, since it is smaller than the sum of its proper divisors (23475467160).

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

9487434240 is a wasteful number, since it uses less digits than its factorization.

9487434240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1347 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 9487434240 is about 97403.4611294691. The cubic root of 9487434240 is about 2116.9775846271.

The spelling of 9487434240 in words is "nine billion, four hundred eighty-seven million, four hundred thirty-four thousand, two hundred forty".