6468468457 has 48 divisors (see below), whose sum is σ = 7658348544. Its totient is φ = 5445871200.

The previous prime is 6468468451. The next prime is 6468468467. The reversal of 6468468457 is 7548648646.

6468468457 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2^k-6468468457 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6468468451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22856638 + ... + 22856920.

It is an arithmetic number, because the mean of its divisors is an integer number (159548928).

Almost surely, 2^6468468457 is an apocalyptic number.

It is an amenable number.

6468468457 is a deficient number, since it is larger than the sum of its proper divisors (1189880087).

6468468457 is a wasteful number, since it uses less digits than its factorization.

6468468457 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 551 counting only the distinct ones).

The product of its digits is 30965760, while the sum is 58.

The square root of 6468468457 is about 80426.7894236740. The cubic root of 6468468457 is about 1863.2329461383.

The spelling of 6468468457 in words is "six billion, four hundred sixty-eight million, four hundred sixty-eight thousand, four hundred fifty-seven".