9601652736 has 576 divisors, whose sum is σ = 33200949600. Its totient is φ = 2723217408.

The previous prime is 9601652677. The next prime is 9601652747. The reversal of 9601652736 is 6372561069.

9601652736 is a `hidden beast` number, since 9 + 601 + 6 + 5 + 2 + 7 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 9601652691 and 9601652700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 259504110 + ... + 259504146.

Almost surely, 2^9601652736 is an apocalyptic number.

9601652736 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9601652736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16600474800).

9601652736 is an abundant number, since it is smaller than the sum of its proper divisors (23599296864).

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

9601652736 is a wasteful number, since it uses less digits than its factorization.

9601652736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 9601652736 is about 97988.0234314378. The cubic root of 9601652736 is about 2125.4390962329.

The spelling of 9601652736 in words is "nine billion, six hundred one million, six hundred fifty-two thousand, seven hundred thirty-six".