9152384640 has 192 divisors, whose sum is σ = 33936550560. Its totient is φ = 2091952128.

The previous prime is 9152384621. The next prime is 9152384653. The reversal of 9152384640 is 464832519.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×9152384640² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 9152384592 and 9152384601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45439 + ... + 142721.

Almost surely, 2^9152384640 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 9152384640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16968275280).

9152384640 is an abundant number, since it is smaller than the sum of its proper divisors (24784165920).

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

9152384640 is a wasteful number, since it uses less digits than its factorization.

9152384640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97319 (or 97300 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 9152384640 is about 95668.0962494812. The cubic root of 9152384640 is about 2091.7579159958.

The spelling of 9152384640 in words is "nine billion, one hundred fifty-two million, three hundred eighty-four thousand, six hundred forty".