6461746784 has 48 divisors (see below), whose sum is σ = 14178855600. Its totient is φ = 2880774144.

The previous prime is 6461746763. The next prime is 6461746787. The reversal of 6461746784 is 4876471646.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6461746787) 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, 302249 + ... + 322920.

It is an arithmetic number, because the mean of its divisors is an integer number (295392825).

Almost surely, 2^6461746784 is an apocalyptic number.

It is an amenable number.

6461746784 is an abundant number, since it is smaller than the sum of its proper divisors (7717108816).

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

6461746784 is a wasteful number, since it uses less digits than its factorization.

6461746784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625215 (or 625207 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 53.

The square root of 6461746784 is about 80384.9910368845. The cubic root of 6461746784 is about 1862.5873330759.

It can be divided in two parts, 646 and 1746784, that multiplied together give a square (1128422464 = 33592²).

The spelling of 6461746784 in words is "six billion, four hundred sixty-one million, seven hundred forty-six thousand, seven hundred eighty-four".