9261762048 has 720 divisors, whose sum is σ = 35364455280. Its totient is φ = 2384363520.

The previous prime is 9261762047. The next prime is 9261762053. The reversal of 9261762048 is 8402671629.

It is a happy number.

9261762048 is a `hidden beast` number, since 9 + 2 + 6 + 17 + 620 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 9261761994 and 9261762012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9261762043) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 81962440 + ... + 81962552.

It is an arithmetic number, because the mean of its divisors is an integer number (49117299).

Almost surely, 2^9261762048 is an apocalyptic number.

9261762048 is a gapful number since it is divisible by the number (98) 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 9261762048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17682227640).

9261762048 is an abundant number, since it is smaller than the sum of its proper divisors (26102693232).

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

9261762048 is a wasteful number, since it uses less digits than its factorization.

9261762048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 9261762048 is about 96238.0488580270. The cubic root of 9261762048 is about 2100.0575984202.

The spelling of 9261762048 in words is "nine billion, two hundred sixty-one million, seven hundred sixty-two thousand, forty-eight".