6413251824 has 120 divisors (see below), whose sum is σ = 20534520032. Its totient is φ = 1830366720.

The previous prime is 6413251807. The next prime is 6413251829. The reversal of 6413251824 is 4281523146.

It is a happy number.

6413251824 is a `hidden beast` number, since 6 + 4 + 132 + 518 + 2 + 4 = 666.

It is a super-2 number, since 2×6413251824² = 82259597916078653952, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6413251829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1098834 + ... + 1104654.

Almost surely, 2^6413251824 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 6413251824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10267260016).

6413251824 is an abundant number, since it is smaller than the sum of its proper divisors (14121268208).

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

6413251824 is a wasteful number, since it uses less digits than its factorization.

6413251824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6935 (or 6926 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 6413251824 is about 80082.7810705897. The cubic root of 6413251824 is about 1857.9160983046.

The spelling of 6413251824 in words is "six billion, four hundred thirteen million, two hundred fifty-one thousand, eight hundred twenty-four".