6681212188560 has 1280 divisors, whose sum is σ = 30220785745920. Its totient is φ = 1316526981120.

The previous prime is 6681212188537. The next prime is 6681212188561. The reversal of 6681212188560 is 658812121866.

6681212188560 is a `hidden beast` number, since 6 + 68 + 1 + 2 + 1 + 2 + 18 + 8 + 560 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 6681212188497 and 6681212188506.

It is not an unprimeable number, because it can be changed into a prime (6681212188561) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 437731489 + ... + 437746751.

It is an arithmetic number, because the mean of its divisors is an integer number (23609988864).

Almost surely, 2^{6681212188560} is an apocalyptic number.

6681212188560 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 6681212188560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15110392872960).

6681212188560 is an abundant number, since it is smaller than the sum of its proper divisors (23539573557360).

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

6681212188560 is a wasteful number, since it uses less digits than its factorization.

6681212188560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15453 (or 15441 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 6681212188560 in words is "six trillion, six hundred eighty-one billion, two hundred twelve million, one hundred eighty-eight thousand, five hundred sixty".