6461813232 has 240 divisors, whose sum is σ = 21546120960. Its totient is φ = 1836504576.

The previous prime is 6461813219. The next prime is 6461813287. The reversal of 6461813232 is 2323181646.

6461813232 is a `hidden beast` number, since 6 + 4 + 618 + 1 + 3 + 2 + 32 = 666.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6340819 + ... + 6341837.

It is an arithmetic number, because the mean of its divisors is an integer number (89775504).

Almost surely, 2^6461813232 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 6461813232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10773060480).

6461813232 is an abundant number, since it is smaller than the sum of its proper divisors (15084307728).

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

6461813232 is a wasteful number, since it uses less digits than its factorization.

6461813232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282 (or 1264 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 6461813232 is about 80385.4043468091. The cubic root of 6461813232 is about 1862.5937175610.

Adding to 6461813232 its reverse (2323181646), we get a palindrome (8784994878).

The spelling of 6461813232 in words is "six billion, four hundred sixty-one million, eight hundred thirteen thousand, two hundred thirty-two".