6553756368 has 120 divisors (see below), whose sum is σ = 18606074760. Its totient is φ = 2153226240.

The previous prime is 6553756327. The next prime is 6553756379. The reversal of 6553756368 is 8636573556.

6553756368 is a `hidden beast` number, since 6 + 553 + 7 + 56 + 36 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 405941904 + 6147814464 = 20148^2 + 78408^2 .

It is a super-2 number, since 2×6553756368² = 85903445062201102848, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5548738 + ... + 5549918.

It is an arithmetic number, because the mean of its divisors is an integer number (155050623).

Almost surely, 2^6553756368 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 6553756368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9303037380).

6553756368 is an abundant number, since it is smaller than the sum of its proper divisors (12052318392).

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

6553756368 is a wasteful number, since it uses less digits than its factorization.

6553756368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1717 (or 1708 counting only the distinct ones).

The product of its digits is 13608000, while the sum is 54.

The square root of 6553756368 is about 80955.2738739114. The cubic root of 6553756368 is about 1871.3862358927.

The spelling of 6553756368 in words is "six billion, five hundred fifty-three million, seven hundred fifty-six thousand, three hundred sixty-eight".