9725631552 has 448 divisors, whose sum is σ = 35539517440. Its totient is φ = 2539579392.

The previous prime is 9725631547. The next prime is 9725631589. The reversal of 9725631552 is 2551365279.

9725631552 is a `hidden beast` number, since 9 + 7 + 2 + 5 + 631 + 5 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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 a junction number, because it is equal to n+sod(n) for n = 9725631498 and 9725631507.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19970253 + ... + 19970739.

It is an arithmetic number, because the mean of its divisors is an integer number (79329280).

Almost surely, 2^9725631552 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 9725631552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17769758720).

9725631552 is an abundant number, since it is smaller than the sum of its proper divisors (25813885888).

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

9725631552 is a wasteful number, since it uses less digits than its factorization.

9725631552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 639 counting only the distinct ones).

The product of its digits is 567000, while the sum is 45.

The square root of 9725631552 is about 98618.6166603446. The cubic root of 9725631552 is about 2134.5480601092.

The spelling of 9725631552 in words is "nine billion, seven hundred twenty-five million, six hundred thirty-one thousand, five hundred fifty-two".