6554782656 has 224 divisors, whose sum is σ = 19947209280. Its totient is φ = 2109100032.

The previous prime is 6554782651. The next prime is 6554782699. The reversal of 6554782656 is 6562874556.

6554782656 is a `hidden beast` number, since 6 + 554 + 7 + 82 + 6 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6554782651) 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 31 ways as a sum of consecutive naturals, for example, 10037626 + ... + 10038278.

Almost surely, 2^6554782656 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 6554782656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9973604640).

6554782656 is an abundant number, since it is smaller than the sum of its proper divisors (13392426624).

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

6554782656 is a wasteful number, since it uses less digits than its factorization.

6554782656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 852 counting only the distinct ones).

The product of its digits is 12096000, while the sum is 54.

The square root of 6554782656 is about 80961.6122369114. The cubic root of 6554782656 is about 1871.4839142768.

The spelling of 6554782656 in words is "six billion, five hundred fifty-four million, seven hundred eighty-two thousand, six hundred fifty-six".