6306606556500 has 192 divisors, whose sum is σ = 18623132236800. Its totient is φ = 1658273459200.

The previous prime is 6306606556493. The next prime is 6306606556513. The reversal of 6306606556500 is 56556066036.

It is a self number, because there is not a number n which added to its sum of digits gives 6306606556500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30516517 + ... + 30722483.

It is an arithmetic number, because the mean of its divisors is an integer number (96995480400).

Almost surely, 2^{6306606556500} is an apocalyptic number.

6306606556500 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 6306606556500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9311566118400).

6306606556500 is an abundant number, since it is smaller than the sum of its proper divisors (12316525680300).

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

6306606556500 is a wasteful number, since it uses less digits than its factorization.

6306606556500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206275 (or 206263 counting only the distinct ones).

The product of its (nonzero) digits is 2916000, while the sum is 48.

The spelling of 6306606556500 in words is "six trillion, three hundred six billion, six hundred six million, five hundred fifty-six thousand, five hundred".