6801579720 has 384 divisors, whose sum is σ = 25995715200. Its totient is φ = 1585557504.

The previous prime is 6801579713. The next prime is 6801579721. The reversal of 6801579720 is 279751086.

6801579720 is a `hidden beast` number, since 6 + 8 + 0 + 1 + 579 + 72 + 0 = 666.

It is a super-2 number, since 2×6801579720² = 92522973375030556800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (6801579721) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 2399424 + ... + 2402256.

It is an arithmetic number, because the mean of its divisors is an integer number (67697175).

Almost surely, 2^6801579720 is an apocalyptic number.

6801579720 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 6801579720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12997857600).

6801579720 is an abundant number, since it is smaller than the sum of its proper divisors (19194135480).

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

6801579720 is a wasteful number, since it uses less digits than its factorization.

6801579720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2891 (or 2875 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 6801579720 is about 82471.6904155602. The cubic root of 6801579720 is about 1894.6831707165.

The spelling of 6801579720 in words is "six billion, eight hundred one million, five hundred seventy-nine thousand, seven hundred twenty".