6681528311040 has 2268 divisors, whose sum is σ = 28408112901252. Its totient is φ = 1498645463040.

The previous prime is 6681528310993. The next prime is 6681528311047. The reversal of 6681528311040 is 401138251866.

6681528311040 is a `hidden beast` number, since 6 + 6 + 8 + 1 + 528 + 3 + 110 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3851704555776 + 2829823755264 = 1962576^2 + 1682208^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6681528311047) by changing a digit.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 113246242531 + ... + 113246242589.

Almost surely, 2^{6681528311040} is an apocalyptic number.

6681528311040 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 6681528311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14204056450626).

6681528311040 is an abundant number, since it is smaller than the sum of its proper divisors (21726584590212).

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

6681528311040 is an equidigital number, since it uses as much as digits as its factorization.

6681528311040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 6681528311040 in words is "six trillion, six hundred eighty-one billion, five hundred twenty-eight million, three hundred eleven thousand, forty".