6556086720 has 336 divisors, whose sum is σ = 24007389120. Its totient is φ = 1636466688.

The previous prime is 6556086709. The next prime is 6556086749. The reversal of 6556086720 is 276806556.

6556086720 is a `hidden beast` number, since 6 + 5 + 560 + 8 + 67 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17576454 + ... + 17576826.

Almost surely, 2^6556086720 is an apocalyptic number.

6556086720 is a gapful number since it is divisible by the number (60) 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 6556086720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12003694560).

6556086720 is an abundant number, since it is smaller than the sum of its proper divisors (17451302400).

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

6556086720 is a wasteful number, since it uses less digits than its factorization.

6556086720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 6556086720 is about 80969.6654309501. The cubic root of 6556086720 is about 1871.6080156695.

The spelling of 6556086720 in words is "six billion, five hundred fifty-six million, eighty-six thousand, seven hundred twenty".