6413563376 has 60 divisors (see below), whose sum is σ = 13890387000. Its totient is φ = 2865793920.

The previous prime is 6413563333. The next prime is 6413563381. The reversal of 6413563376 is 6733653146.

It is a happy number.

It is a super-2 number, since 2×6413563376² = 82267590355937034752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86150 + ... + 142298.

It is an arithmetic number, because the mean of its divisors is an integer number (231506450).

Almost surely, 2^6413563376 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 6413563376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6945193500).

6413563376 is an abundant number, since it is smaller than the sum of its proper divisors (7476823624).

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

6413563376 is a wasteful number, since it uses less digits than its factorization.

6413563376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56238 (or 56221 counting only the distinct ones).

The product of its digits is 816480, while the sum is 44.

The square root of 6413563376 is about 80084.7262341578. The cubic root of 6413563376 is about 1857.9461833077.

The spelling of 6413563376 in words is "six billion, four hundred thirteen million, five hundred sixty-three thousand, three hundred seventy-six".