6461005248 has 84 divisors (see below), whose sum is σ = 18950059128. Its totient is φ = 2103575040.

The previous prime is 6461005189. The next prime is 6461005297. The reversal of 6461005248 is 8425001646.

6461005248 is a `hidden beast` number, since 646 + 1 + 0 + 0 + 5 + 2 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 105663 + ... + 155198.

It is an arithmetic number, because the mean of its divisors is an integer number (225595942).

Almost surely, 2^6461005248 is an apocalyptic number.

It is an amenable number.

6461005248 is an abundant number, since it is smaller than the sum of its proper divisors (12489053880).

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

6461005248 is a wasteful number, since it uses less digits than its factorization.

6461005248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260922 (or 260909 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 6461005248 is about 80380.3785012238. The cubic root of 6461005248 is about 1862.5160815271.

The spelling of 6461005248 in words is "six billion, four hundred sixty-one million, five thousand, two hundred forty-eight".