6411664160 has 144 divisors (see below), whose sum is σ = 16901716608. Its totient is φ = 2296250880.

The previous prime is 6411664153. The next prime is 6411664213. The reversal of 6411664160 is 614661146.

It is a super-2 number, since 2×6411664160² = 82218874601257011200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6411664160.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1294649 + ... + 1299591.

It is an arithmetic number, because the mean of its divisors is an integer number (117373032).

Almost surely, 2^6411664160 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 6411664160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8450858304).

6411664160 is an abundant number, since it is smaller than the sum of its proper divisors (10490052448).

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

6411664160 is a wasteful number, since it uses less digits than its factorization.

6411664160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5047 (or 5028 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 6411664160 is about 80072.8678142603. The cubic root of 6411664160 is about 1857.7627704749.

The spelling of 6411664160 in words is "six billion, four hundred eleven million, six hundred sixty-four thousand, one hundred sixty".