9132464640 has 640 divisors, whose sum is σ = 33954826752. Its totient is φ = 2076180480.

The previous prime is 9132464633. The next prime is 9132464647. The reversal of 9132464640 is 464642319.

It is an interprime number because it is at equal distance from previous prime (9132464633) and next prime (9132464647).

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (9132464647) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 94149072 + ... + 94149168.

Almost surely, 2^9132464640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9132464640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16977413376).

9132464640 is an abundant number, since it is smaller than the sum of its proper divisors (24822362112).

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

9132464640 is a wasteful number, since it uses less digits than its factorization.

9132464640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The square root of 9132464640 is about 95563.9295968934. The cubic root of 9132464640 is about 2090.2392558985.

The spelling of 9132464640 in words is "nine billion, one hundred thirty-two million, four hundred sixty-four thousand, six hundred forty".