9261738720 has 768 divisors, whose sum is σ = 37721376000. Its totient is φ = 2102132736.

The previous prime is 9261738719. The next prime is 9261738791. The reversal of 9261738720 is 278371629.

9261738720 is a `hidden beast` number, since 9 + 2 + 617 + 3 + 8 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 84970026 + ... + 84970134.

It is an arithmetic number, because the mean of its divisors is an integer number (49116375).

Almost surely, 2^9261738720 is an apocalyptic number.

9261738720 is a gapful number since it is divisible by the number (90) 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 9261738720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18860688000).

9261738720 is an abundant number, since it is smaller than the sum of its proper divisors (28459637280).

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

9261738720 is a wasteful number, since it uses less digits than its factorization.

9261738720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 9261738720 is about 96237.9276584861. The cubic root of 9261738720 is about 2100.0558352501.

The spelling of 9261738720 in words is "nine billion, two hundred sixty-one million, seven hundred thirty-eight thousand, seven hundred twenty".