6815402880 has 512 divisors, whose sum is σ = 25876730880. Its totient is φ = 1504051200.

The previous prime is 6815402861. The next prime is 6815402887. The reversal of 6815402880 is 882045186.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6815402887) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28279560 + ... + 28279800.

It is an arithmetic number, because the mean of its divisors is an integer number (50540490).

Almost surely, 2^6815402880 is an apocalyptic number.

6815402880 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 6815402880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12938365440).

6815402880 is an abundant number, since it is smaller than the sum of its proper divisors (19061328000).

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

6815402880 is a wasteful number, since it uses less digits than its factorization.

6815402880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The square root of 6815402880 is about 82555.4533631789. The cubic root of 6815402880 is about 1895.9658524356.

The spelling of 6815402880 in words is "six billion, eight hundred fifteen million, four hundred two thousand, eight hundred eighty".