9240429672 has 64 divisors (see below), whose sum is σ = 25727673600. Its totient is φ = 3072965760.

The previous prime is 9240429647. The next prime is 9240429673. The reversal of 9240429672 is 2769240429.

It is a happy number.

9240429672 is a `hidden beast` number, since 92 + 404 + 2 + 96 + 72 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (9240429673) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43468 + ... + 142724.

It is an arithmetic number, because the mean of its divisors is an integer number (401994900).

Almost surely, 2^9240429672 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 9240429672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12863836800).

9240429672 is an abundant number, since it is smaller than the sum of its proper divisors (16487243928).

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

9240429672 is a wasteful number, since it uses less digits than its factorization.

9240429672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99703 (or 99693 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 9240429672 is about 96127.1536663809. The cubic root of 9240429672 is about 2098.4440229070. Note that the first 3 decimals are identical.

The spelling of 9240429672 in words is "nine billion, two hundred forty million, four hundred twenty-nine thousand, six hundred seventy-two".