6476446746 has 128 divisors (see below), whose sum is σ = 17998848000. Its totient is φ = 1676998080.

The previous prime is 6476446741. The next prime is 6476446751.

6476446746 is a `hidden beast` number, since 64 + 76 + 446 + 74 + 6 = 666.

6476446746 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (6476446741) and next prime (6476446751).

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 = 6476446692 and 6476446701.

It is not an unprimeable number, because it can be changed into a prime (6476446741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1448911 + ... + 1453373.

It is an arithmetic number, because the mean of its divisors is an integer number (140616000).

Almost surely, 2^6476446746 is an apocalyptic number.

6476446746 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 6476446746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8999424000).

6476446746 is an abundant number, since it is smaller than the sum of its proper divisors (11522401254).

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

6476446746 is a wasteful number, since it uses less digits than its factorization.

6476446746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4841 (or 4835 counting only the distinct ones).

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

The square root of 6476446746 is about 80476.3738372946. The cubic root of 6476446746 is about 1863.9986762579.

The spelling of 6476446746 in words is "six billion, four hundred seventy-six million, four hundred forty-six thousand, seven hundred forty-six".