6626134368 has 480 divisors, whose sum is σ = 23600808000. Its totient is φ = 1820786688.

The previous prime is 6626134363. The next prime is 6626134369. The reversal of 6626134368 is 8634316266.

6626134368 is a `hidden beast` number, since 6 + 626 + 13 + 4 + 3 + 6 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6626134363) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 25782496 + ... + 25782752.

It is an arithmetic number, because the mean of its divisors is an integer number (49168350).

Almost surely, 2^6626134368 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 6626134368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11800404000).

6626134368 is an abundant number, since it is smaller than the sum of its proper divisors (16974673632).

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

6626134368 is a wasteful number, since it uses less digits than its factorization.

6626134368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 298 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 6626134368 is about 81401.0710494647. The cubic root of 6626134368 is about 1878.2500662221.

The spelling of 6626134368 in words is "six billion, six hundred twenty-six million, one hundred thirty-four thousand, three hundred sixty-eight".