6493553946 has 128 divisors (see below), whose sum is σ = 16232140800. Its totient is φ = 1906908480.

The previous prime is 6493553933. The next prime is 6493553947.

6493553946 is a `hidden beast` number, since 6 + 49 + 3 + 553 + 9 + 46 = 666.

6493553946 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×6493553946² = 84332485699224341832, which contains 22 as substring.

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 = 6493553892 and 6493553901.

It is not an unprimeable number, because it can be changed into a prime (6493553947) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7889691 + ... + 7890513.

It is an arithmetic number, because the mean of its divisors is an integer number (126813600).

Almost surely, 2^6493553946 is an apocalyptic number.

6493553946 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 6493553946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8116070400).

6493553946 is an abundant number, since it is smaller than the sum of its proper divisors (9738586854).

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

6493553946 is a wasteful number, since it uses less digits than its factorization.

6493553946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1241 (or 1235 counting only the distinct ones).

The product of its digits is 10497600, while the sum is 54.

The square root of 6493553946 is about 80582.5908369792. The cubic root of 6493553946 is about 1865.6384520936.

The spelling of 6493553946 in words is "six billion, four hundred ninety-three million, five hundred fifty-three thousand, nine hundred forty-six".