6413413644 has 72 divisors (see below), whose sum is σ = 17694685008. Its totient is φ = 1942446720.

The previous prime is 6413413631. The next prime is 6413413661. The reversal of 6413413644 is 4463143146.

6413413644 is a `hidden beast` number, since 6 + 4 + 1 + 3 + 4 + 1 + 3 + 644 = 666.

It is a super-2 number, since 2×6413413644² = 82263749138090717472, which contains 22 as substring.

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 junction number, because it is equal to n+sod(n) for n = 6413413599 and 6413413608.

It is an unprimeable number.

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, 1168234 + ... + 1173710.

It is an arithmetic number, because the mean of its divisors is an integer number (245759514).

Almost surely, 2^6413413644 is an apocalyptic number.

It is an amenable number.

6413413644 is an abundant number, since it is smaller than the sum of its proper divisors (11281271364).

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

6413413644 is a wasteful number, since it uses less digits than its factorization.

6413413644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8455 (or 8450 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 6413413644 is about 80083.7913937646. The cubic root of 6413413644 is about 1857.9317245663.

The spelling of 6413413644 in words is "six billion, four hundred thirteen million, four hundred thirteen thousand, six hundred forty-four".