9768451240 has 64 divisors (see below), whose sum is σ = 22167250560. Its totient is φ = 3874041600.

The previous prime is 9768451211. The next prime is 9768451249. The reversal of 9768451240 is 421548679.

9768451240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (9768451249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2957590 + ... + 2960890.

It is an arithmetic number, because the mean of its divisors is an integer number (346363290).

Almost surely, 2^9768451240 is an apocalyptic number.

It is an amenable number.

9768451240 is an abundant number, since it is smaller than the sum of its proper divisors (12398799320).

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

9768451240 is a wasteful number, since it uses less digits than its factorization.

9768451240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3922 (or 3918 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 46.

The square root of 9768451240 is about 98835.4756147812. The cubic root of 9768451240 is about 2137.6761130271.

It can be divided in two parts, 976 and 8451240, that added together give a triangular number (8452216 = T₄₁₁₁).

The spelling of 9768451240 in words is "nine billion, seven hundred sixty-eight million, four hundred fifty-one thousand, two hundred forty".