6412020160 has 224 divisors, whose sum is σ = 19401080832. Its totient is φ = 1963560960.

The previous prime is 6412020143. The next prime is 6412020163. The reversal of 6412020160 is 610202146.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×6412020160² = 82228005064492851200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6412020163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 899169 + ... + 906271.

It is an arithmetic number, because the mean of its divisors is an integer number (86611968).

Almost surely, 2^6412020160 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 6412020160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9700540416).

6412020160 is an abundant number, since it is smaller than the sum of its proper divisors (12989060672).

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

6412020160 is a wasteful number, since it uses less digits than its factorization.

6412020160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7171 (or 7161 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 6412020160 is about 80075.0907586123. The cubic root of 6412020160 is about 1857.7971531920.

The spelling of 6412020160 in words is "six billion, four hundred twelve million, twenty thousand, one hundred sixty".