6461001744 has 80 divisors (see below), whose sum is σ = 16873771200. Its totient is φ = 2130186240.

The previous prime is 6461001739. The next prime is 6461001823. The reversal of 6461001744 is 4471001646.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2117532 + ... + 2120580.

It is an arithmetic number, because the mean of its divisors is an integer number (210922140).

Almost surely, 2^6461001744 is an apocalyptic number.

It is an amenable number.

6461001744 is an abundant number, since it is smaller than the sum of its proper divisors (10412769456).

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

6461001744 is a wasteful number, since it uses less digits than its factorization.

6461001744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3528 (or 3522 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 6461001744 is about 80380.3567048567. The cubic root of 6461001744 is about 1862.5157448273.

The spelling of 6461001744 in words is "six billion, four hundred sixty-one million, one thousand, seven hundred forty-four".