6411562560 has 336 divisors, whose sum is σ = 24497873280. Its totient is φ = 1577871360.

The previous prime is 6411562541. The next prime is 6411562561. The reversal of 6411562560 is 652651146.

6411562560 is a `hidden beast` number, since 6 + 41 + 1 + 56 + 2 + 560 = 666.

It is a super-2 number, since 2×6411562560² = 82216268921587507200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (6411562561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1457965 + ... + 1462355.

Almost surely, 2^6411562560 is an apocalyptic number.

6411562560 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 6411562560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12248936640).

6411562560 is an abundant number, since it is smaller than the sum of its proper divisors (18086310720).

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

6411562560 is a wasteful number, since it uses less digits than its factorization.

6411562560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4443 (or 4414 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 6411562560 is about 80072.2333896089. The cubic root of 6411562560 is about 1857.7529576457.

The spelling of 6411562560 in words is "six billion, four hundred eleven million, five hundred sixty-two thousand, five hundred sixty".