6461746785 has 128 divisors (see below), whose sum is σ = 12796600320. Its totient is φ = 3073075200.

The previous prime is 6461746763. The next prime is 6461746787. The reversal of 6461746785 is 5876471646.

It is not a de Polignac number, because 6461746785 - 2⁶ = 6461746721 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (6461746787) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12402325 + ... + 12402845.

It is an arithmetic number, because the mean of its divisors is an integer number (99973440).

Almost surely, 2^6461746785 is an apocalyptic number.

6461746785 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

6461746785 is a deficient number, since it is larger than the sum of its proper divisors (6334853535).

6461746785 is a wasteful number, since it uses less digits than its factorization.

6461746785 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 770 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The square root of 6461746785 is about 80384.9910431046. The cubic root of 6461746785 is about 1862.5873331719.

The spelling of 6461746785 in words is "six billion, four hundred sixty-one million, seven hundred forty-six thousand, seven hundred eighty-five".