9748267760 has 240 divisors, whose sum is σ = 28891043712. Its totient is φ = 3024806400.

The previous prime is 9748267751. The next prime is 9748267769. The reversal of 9748267760 is 677628479.

It is an interprime number because it is at equal distance from previous prime (9748267751) and next prime (9748267769).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 9748267696 and 9748267705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9748267769) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 14272379 + ... + 14273061.

Almost surely, 2^9748267760 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 9748267760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14445521856).

9748267760 is an abundant number, since it is smaller than the sum of its proper divisors (19142775952).

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

9748267760 is a wasteful number, since it uses less digits than its factorization.

9748267760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 56.

The square root of 9748267760 is about 98733.3163628165. The cubic root of 9748267760 is about 2136.2028159150.

The spelling of 9748267760 in words is "nine billion, seven hundred forty-eight million, two hundred sixty-seven thousand, seven hundred sixty".