7406768460 has 144 divisors (see below), whose sum is σ = 25980798816. Its totient is φ = 1562738688.

The previous prime is 7406768417. The next prime is 7406768483. The reversal of 7406768460 is 648676047.

It is a happy number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 58677 + ... + 135116.

It is an arithmetic number, because the mean of its divisors is an integer number (180422214).

Almost surely, 2^7406768460 is an apocalyptic number.

7406768460 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

7406768460 is an abundant number, since it is smaller than the sum of its proper divisors (18574030356).

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

7406768460 is a wasteful number, since it uses less digits than its factorization.

7406768460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193832 (or 193823 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The square root of 7406768460 is about 86062.5845533354. The cubic root of 7406768460 is about 1949.2891083904.

The spelling of 7406768460 in words is "seven billion, four hundred six million, seven hundred sixty-eight thousand, four hundred sixty".