6468461000 has 32 divisors (see below), whose sum is σ = 15136201080. Its totient is φ = 2587384000.

The previous prime is 6468460979. The next prime is 6468461003. The reversal of 6468461000 is 1648646.

It can be written as a sum of positive squares in 4 ways, for example, as 3758425636 + 2710035364 = 61306^2 + 52058^2 .

It is not an unprimeable number, because it can be changed into a prime (6468461003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3233231 + ... + 3235230.

Almost surely, 2^6468461000 is an apocalyptic number.

It is an amenable number.

6468461000 is an abundant number, since it is smaller than the sum of its proper divisors (8667740080).

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

6468461000 is a wasteful number, since it uses less digits than its factorization.

6468461000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6468482 (or 6468468 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 6468461000 is about 80426.7430647294. The cubic root of 6468461000 is about 1863.2322301453.

The spelling of 6468461000 in words is "six billion, four hundred sixty-eight million, four hundred sixty-one thousand".