6428205360 has 360 divisors, whose sum is σ = 23092654416. Its totient is φ = 1662819840.

The previous prime is 6428205299. The next prime is 6428205367. The reversal of 6428205360 is 635028246.

6428205360 is a `hidden beast` number, since 6 + 42 + 82 + 0 + 536 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-4 number, since 4×6428205360⁴ (a number of 40 digits) contains 4444 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 (6428205367) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19420395 + ... + 19420725.

Almost surely, 2^6428205360 is an apocalyptic number.

6428205360 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 6428205360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11546327208).

6428205360 is an abundant number, since it is smaller than the sum of its proper divisors (16664449056).

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

6428205360 is an equidigital number, since it uses as much as digits as its factorization.

6428205360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 6428205360 is about 80176.0897026040. The cubic root of 6428205360 is about 1859.3589882707.

The spelling of 6428205360 in words is "six billion, four hundred twenty-eight million, two hundred five thousand, three hundred sixty".