6681153024 has 640 divisors, whose sum is σ = 25078394880. Its totient is φ = 1709309952.

The previous prime is 6681153013. The next prime is 6681153043. The reversal of 6681153024 is 4203511866.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 6681153024.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59125192 + ... + 59125304.

It is an arithmetic number, because the mean of its divisors is an integer number (39184992).

Almost surely, 2^6681153024 is an apocalyptic number.

6681153024 is a gapful number since it is divisible by the number (64) 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 6681153024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12539197440).

6681153024 is an abundant number, since it is smaller than the sum of its proper divisors (18397241856).

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

6681153024 is a wasteful number, since it uses less digits than its factorization.

6681153024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 6681153024 is about 81738.3204133777. The cubic root of 6681153024 is about 1883.4342899667.

The spelling of 6681153024 in words is "six billion, six hundred eighty-one million, one hundred fifty-three thousand, twenty-four".