6411417680 has 20 divisors (see below), whose sum is σ = 14906546292. Its totient is φ = 2564567040.

The previous prime is 6411417671. The next prime is 6411417697. The reversal of 6411417680 is 867141146.

It can be written as a sum of positive squares in 2 ways, for example, as 2974175296 + 3437242384 = 54536^2 + 58628^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-3 number, since 3×6411417680³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40071281 + ... + 40071440.

Almost surely, 2^6411417680 is an apocalyptic number.

It is an amenable number.

6411417680 is an abundant number, since it is smaller than the sum of its proper divisors (8495128612).

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

6411417680 is a wasteful number, since it uses less digits than its factorization.

6411417680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80142734 (or 80142728 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 38.

The square root of 6411417680 is about 80071.3287013523. The cubic root of 6411417680 is about 1857.7389645266.

The spelling of 6411417680 in words is "six billion, four hundred eleven million, four hundred seventeen thousand, six hundred eighty".