6461286912 has 120 divisors (see below), whose sum is σ = 19152209076. Its totient is φ = 2095497216.

The previous prime is 6461286907. The next prime is 6461286919. The reversal of 6461286912 is 2196821646.

It can be written as a sum of positive squares in 2 ways, for example, as 6371870976 + 89415936 = 79824^2 + 9456^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (6461286919) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 151548 + ... + 189444.

Almost surely, 2^6461286912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6461286912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9576104538).

6461286912 is an abundant number, since it is smaller than the sum of its proper divisors (12690922164).

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

6461286912 is a wasteful number, since it uses less digits than its factorization.

6461286912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37958 (or 37939 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 6461286912 is about 80382.1305515100. The cubic root of 6461286912 is about 1862.5431462581.

The spelling of 6461286912 in words is "six billion, four hundred sixty-one million, two hundred eighty-six thousand, nine hundred twelve".