6442180920 has 288 divisors, whose sum is σ = 24507774720. Its totient is φ = 1463293440.

The previous prime is 6442180919. The next prime is 6442180931. The reversal of 6442180920 is 290812446.

6442180920 is a `hidden beast` number, since 644 + 2 + 1 + 8 + 0 + 9 + 2 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 3050665 + ... + 3052775.

It is an arithmetic number, because the mean of its divisors is an integer number (85096440).

Almost surely, 2^6442180920 is an apocalyptic number.

6442180920 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 6442180920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12253887360).

6442180920 is an abundant number, since it is smaller than the sum of its proper divisors (18065593800).

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

6442180920 is a wasteful number, since it uses less digits than its factorization.

6442180920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2315 (or 2301 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 6442180920 is about 80263.1977932601. The cubic root of 6442180920 is about 1860.7054902677.

The spelling of 6442180920 in words is "six billion, four hundred forty-two million, one hundred eighty thousand, nine hundred twenty".