6681983051520 has 3456 divisors, whose sum is σ = 31102678204416. Its totient is φ = 1337657131008.

The previous prime is 6681983051441. The next prime is 6681983051551. The reversal of 6681983051520 is 251503891866.

6681983051520 is a `hidden beast` number, since 6 + 6 + 8 + 1 + 98 + 30 + 515 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 40011874477 + ... + 40011874643.

It is an arithmetic number, because the mean of its divisors is an integer number (8999617536).

Almost surely, 2^{6681983051520} is an apocalyptic number.

6681983051520 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 6681983051520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15551339102208).

6681983051520 is an abundant number, since it is smaller than the sum of its proper divisors (24420695152896).

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

6681983051520 is a wasteful number, since it uses less digits than its factorization.

6681983051520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 6681983051520 in words is "six trillion, six hundred eighty-one billion, nine hundred eighty-three million, fifty-one thousand, five hundred twenty".