9633641472 has 528 divisors, whose sum is σ = 35806451520. Its totient is φ = 2536095744.

The previous prime is 9633641417. The next prime is 9633641473. The reversal of 9633641472 is 2741463369.

9633641472 is a `hidden beast` number, since 9 + 633 + 6 + 4 + 1 + 4 + 7 + 2 = 666.

It is a super-2 number, since 2×9633641472² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9633641473) 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, 17611503 + ... + 17612049.

Almost surely, 2^9633641472 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 9633641472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17903225760).

9633641472 is an abundant number, since it is smaller than the sum of its proper divisors (26172810048).

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

9633641472 is a wasteful number, since it uses less digits than its factorization.

9633641472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 572 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The square root of 9633641472 is about 98151.1154903499. The cubic root of 9633641472 is about 2127.7968411777.

The spelling of 9633641472 in words is "nine billion, six hundred thirty-three million, six hundred forty-one thousand, four hundred seventy-two".