6411227760 has 800 divisors, whose sum is σ = 27568949760. Its totient is φ = 1348171776.

The previous prime is 6411227749. The next prime is 6411227773. The reversal of 6411227760 is 677221146.

6411227760 is a `hidden beast` number, since 641 + 1 + 2 + 2 + 7 + 7 + 6 + 0 = 666.

It is a super-2 number, since 2×6411227760² = 82207682781189235200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 37059034 + ... + 37059206.

Almost surely, 2^6411227760 is an apocalyptic number.

6411227760 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 6411227760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13784474880).

6411227760 is an abundant number, since it is smaller than the sum of its proper divisors (21157722000).

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

6411227760 is a wasteful number, since it uses less digits than its factorization.

6411227760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 6411227760 is about 80070.1427499664. The cubic root of 6411227760 is about 1857.7206209358.

The spelling of 6411227760 in words is "six billion, four hundred eleven million, two hundred twenty-seven thousand, seven hundred sixty".