9749237760 has 364 divisors, whose sum is σ = 35130642012. Its totient is φ = 2595815424.

The previous prime is 9749237749. The next prime is 9749237779. The reversal of 9749237760 is 677329479.

9749237760 is a `hidden beast` number, since 97 + 492 + 3 + 7 + 7 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2869530624 + 6879707136 = 53568^2 + 82944^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 9749237697 and 9749237706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 14929594 + ... + 14930246.

Almost surely, 2^9749237760 is an apocalyptic number.

9749237760 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 9749237760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17565321006).

9749237760 is an abundant number, since it is smaller than the sum of its proper divisors (25381404252).

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

9749237760 is an frugal number, since it uses more digits than its factorization.

9749237760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 4000752, while the sum is 54.

The square root of 9749237760 is about 98738.2284629413. The cubic root of 9749237760 is about 2136.2736677511.

The spelling of 9749237760 in words is "nine billion, seven hundred forty-nine million, two hundred thirty-seven thousand, seven hundred sixty".