7668401345 has 32 divisors (see below), whose sum is σ = 10346434560. Its totient is φ = 5407899840.

The previous prime is 7668401303. The next prime is 7668401359. The reversal of 7668401345 is 5431048667.

It is not a de Polignac number, because 7668401345 - 2⁶ = 7668401281 is a prime.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 7668401296 and 7668401305.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 317072 + ... + 340398.

It is an arithmetic number, because the mean of its divisors is an integer number (323326080).

Almost surely, 2^7668401345 is an apocalyptic number.

It is an amenable number.

7668401345 is a deficient number, since it is larger than the sum of its proper divisors (2678033215).

7668401345 is a wasteful number, since it uses less digits than its factorization.

7668401345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23525.

The product of its (nonzero) digits is 483840, while the sum is 44.

The square root of 7668401345 is about 87569.4087281626. The cubic root of 7668401345 is about 1971.9759388003.

The spelling of 7668401345 in words is "seven billion, six hundred sixty-eight million, four hundred one thousand, three hundred forty-five".