6789401216 has 64 divisors (see below), whose sum is σ = 14583435720. Its totient is φ = 3129864192.

The previous prime is 6789401209. The next prime is 6789401237. The reversal of 6789401216 is 6121049876.

It can be written as a sum of positive squares in 4 ways, for example, as 6432040000 + 357361216 = 80200^2 + 18904^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×6789401216³ (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1816886 + ... + 1820618.

Almost surely, 2^6789401216 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 6789401216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7291717860).

6789401216 is an abundant number, since it is smaller than the sum of its proper divisors (7794034504).

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

6789401216 is a wasteful number, since it uses less digits than its factorization.

6789401216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4853 (or 4841 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 44.

The square root of 6789401216 is about 82397.8228838602. The cubic root of 6789401216 is about 1893.5516594536.

The spelling of 6789401216 in words is "six billion, seven hundred eighty-nine million, four hundred one thousand, two hundred sixteen".