6682150720 has 224 divisors, whose sum is σ = 18614550528. Its totient is φ = 2237663232.

The previous prime is 6682150711. The next prime is 6682150763. The reversal of 6682150720 is 270512866.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×6682150720² = 89302276489593036800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6682150720.

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 31 ways as a sum of consecutive naturals, for example, 23611699 + ... + 23611981.

It is an arithmetic number, because the mean of its divisors is an integer number (83100672).

Almost surely, 2^6682150720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6682150720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9307275264).

6682150720 is an abundant number, since it is smaller than the sum of its proper divisors (11932399808).

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

6682150720 is a wasteful number, since it uses less digits than its factorization.

6682150720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 6682150720 is about 81744.4231736942. The cubic root of 6682150720 is about 1883.5280363267.

The spelling of 6682150720 in words is "six billion, six hundred eighty-two million, one hundred fifty thousand, seven hundred twenty".