6353362944 has 336 divisors, whose sum is σ = 20103513768. Its totient is φ = 1925185536.

The previous prime is 6353362943. The next prime is 6353362957. The reversal of 6353362944 is 4492633536.

6353362944 is a `hidden beast` number, since 6 + 353 + 3 + 6 + 294 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6348902400 + 4460544 = 79680^2 + 2112^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 6353362944.

It is not an unprimeable number, because it can be changed into a prime (6353362943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46374844 + ... + 46374980.

Almost surely, 2^6353362944 is an apocalyptic number.

6353362944 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6353362944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10051756884).

6353362944 is an abundant number, since it is smaller than the sum of its proper divisors (13750150824).

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

6353362944 is a wasteful number, since it uses less digits than its factorization.

6353362944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 196 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 45.

The square root of 6353362944 is about 79707.9854468798. The cubic root of 6353362944 is about 1852.1147420695.

The spelling of 6353362944 in words is "six billion, three hundred fifty-three million, three hundred sixty-two thousand, nine hundred forty-four".