9432646272 has 384 divisors, whose sum is σ = 32435020800. Its totient is φ = 2574581760.

The previous prime is 9432646271. The next prime is 9432646277. The reversal of 9432646272 is 2726462349.

9432646272 is a `hidden beast` number, since 94 + 32 + 6 + 462 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (9432646271) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24248254 + ... + 24248642.

It is an arithmetic number, because the mean of its divisors is an integer number (84466200).

Almost surely, 2^9432646272 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 9432646272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16217510400).

9432646272 is an abundant number, since it is smaller than the sum of its proper divisors (23002374528).

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

9432646272 is a wasteful number, since it uses less digits than its factorization.

9432646272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 529 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The square root of 9432646272 is about 97121.8115152307. The cubic root of 9432646272 is about 2112.8946794848.

The spelling of 9432646272 in words is "nine billion, four hundred thirty-two million, six hundred forty-six thousand, two hundred seventy-two".