6918416960 has 224 divisors, whose sum is σ = 20397898752. Its totient is φ = 2176450560.

The previous prime is 6918416959. The next prime is 6918416969. The reversal of 6918416960 is 696148196.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 6918416899 and 6918416908.

It is not an unprimeable number, because it can be changed into a prime (6918416969) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5619545 + ... + 5620775.

It is an arithmetic number, because the mean of its divisors is an integer number (91062048).

Almost surely, 2^6918416960 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 6918416960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10198949376).

6918416960 is an abundant number, since it is smaller than the sum of its proper divisors (13479481792).

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

6918416960 is a wasteful number, since it uses less digits than its factorization.

6918416960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1461 (or 1451 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 50.

The square root of 6918416960 is about 83177.0218269445. The cubic root of 6918416960 is about 1905.4705643544.

The spelling of 6918416960 in words is "six billion, nine hundred eighteen million, four hundred sixteen thousand, nine hundred sixty".