6815784960 has 224 divisors, whose sum is σ = 24236354880. Its totient is φ = 1817247744.

The previous prime is 6815784931. The next prime is 6815784967. The reversal of 6815784960 is 694875186.

6815784960 is a `hidden beast` number, since 6 + 8 + 1 + 578 + 4 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 6815784897 and 6815784906.

It is not an unprimeable number, because it can be changed into a prime (6815784967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1102839 + ... + 1109001.

Almost surely, 2^6815784960 is an apocalyptic number.

6815784960 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 6815784960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12118177440).

6815784960 is an abundant number, since it is smaller than the sum of its proper divisors (17420569920).

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

6815784960 is an equidigital number, since it uses as much as digits as its factorization.

6815784960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6203 (or 6173 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 6815784960 is about 82557.7674116736. The cubic root of 6815784960 is about 1896.0012818450.

The spelling of 6815784960 in words is "six billion, eight hundred fifteen million, seven hundred eighty-four thousand, nine hundred sixty".