6780461160 has 128 divisors (see below), whose sum is σ = 22406492160. Its totient is φ = 1627756800.

The previous prime is 6780461119. The next prime is 6780461213. The reversal of 6780461160 is 611640876.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111025 + ... + 160895.

It is an arithmetic number, because the mean of its divisors is an integer number (175050720).

Almost surely, 2^6780461160 is an apocalyptic number.

6780461160 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 6780461160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11203246080).

6780461160 is an abundant number, since it is smaller than the sum of its proper divisors (15626031000).

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

6780461160 is a wasteful number, since it uses less digits than its factorization.

6780461160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49999 (or 49995 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 6780461160 is about 82343.5556677024. Note that the first 3 decimals coincide. The cubic root of 6780461160 is about 1892.7201725988.

The spelling of 6780461160 in words is "six billion, seven hundred eighty million, four hundred sixty-one thousand, one hundred sixty".