9740261168 has 120 divisors (see below), whose sum is σ = 21661894800. Its totient is φ = 4207329280.

The previous prime is 9740261161. The next prime is 9740261177. The reversal of 9740261168 is 8611620479.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (9740261161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21693008 + ... + 21693456.

It is an arithmetic number, because the mean of its divisors is an integer number (180515790).

Almost surely, 2^9740261168 is an apocalyptic number.

9740261168 is the 52754-th centered heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9740261168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10830947400).

9740261168 is an abundant number, since it is smaller than the sum of its proper divisors (11921633632).

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

9740261168 is a wasteful number, since it uses less digits than its factorization.

9740261168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 44.

The square root of 9740261168 is about 98692.7614772228. The cubic root of 9740261168 is about 2135.6178097868.

The spelling of 9740261168 in words is "nine billion, seven hundred forty million, two hundred sixty-one thousand, one hundred sixty-eight".