6815601980 has 96 divisors (see below), whose sum is σ = 15958978560. Its totient is φ = 2424096000.

The previous prime is 6815601977. The next prime is 6815602007. The reversal of 6815601980 is 891065186.

It is a Harshad number since it is a multiple of its sum of digits (44).

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 31 ways as a sum of consecutive naturals, for example, 2561891 + ... + 2564549.

It is an arithmetic number, because the mean of its divisors is an integer number (166239360).

Almost surely, 2^6815601980 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 6815601980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7979489280).

6815601980 is an abundant number, since it is smaller than the sum of its proper divisors (9143376580).

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

6815601980 is a wasteful number, since it uses less digits than its factorization.

6815601980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2931 (or 2929 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 44.

The square root of 6815601980 is about 82556.6592105083. The cubic root of 6815601980 is about 1895.9843146910.

The spelling of 6815601980 in words is "six billion, eight hundred fifteen million, six hundred one thousand, nine hundred eighty".