6446776446 has 64 divisors (see below), whose sum is σ = 15676243200. Its totient is φ = 1947607200.

The previous prime is 6446776439. The next prime is 6446776463.

6446776446 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 6446776392 and 6446776401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180220 + ... + 213008.

It is an arithmetic number, because the mean of its divisors is an integer number (244941300).

Almost surely, 2^6446776446 is an apocalyptic number.

6446776446 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6446776446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7838121600).

6446776446 is an abundant number, since it is smaller than the sum of its proper divisors (9229466754).

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

6446776446 is a wasteful number, since it uses less digits than its factorization.

6446776446 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33142 (or 33136 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 54.

The square root of 6446776446 is about 80291.8205423193. The cubic root of 6446776446 is about 1861.1478294955.

The spelling of 6446776446 in words is "six billion, four hundred forty-six million, seven hundred seventy-six thousand, four hundred forty-six".