6431184864 has 480 divisors, whose sum is σ = 21976194240. Its totient is φ = 1827422208.

The previous prime is 6431184841. The next prime is 6431184917. The reversal of 6431184864 is 4684811346.

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 79 ways as a sum of consecutive naturals, for example, 59001642 + ... + 59001750.

It is an arithmetic number, because the mean of its divisors is an integer number (45783738).

Almost surely, 2^6431184864 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 6431184864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10988097120).

6431184864 is an abundant number, since it is smaller than the sum of its proper divisors (15545009376).

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

6431184864 is a wasteful number, since it uses less digits than its factorization.

6431184864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 247 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 6431184864 is about 80194.6685509704. The cubic root of 6431184864 is about 1859.6462178326.

The spelling of 6431184864 in words is "six billion, four hundred thirty-one million, one hundred eighty-four thousand, eight hundred sixty-four".