6428201472 has 720 divisors, whose sum is σ = 24564636096. Its totient is φ = 1642291200.

The previous prime is 6428201413. The next prime is 6428201477. The reversal of 6428201472 is 2741028246.

6428201472 is a `hidden beast` number, since 642 + 8 + 2 + 0 + 1 + 4 + 7 + 2 = 666.

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 (6428201477) 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, 105380322 + ... + 105380382.

Almost surely, 2^6428201472 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 6428201472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12282318048).

6428201472 is an abundant number, since it is smaller than the sum of its proper divisors (18136434624).

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

6428201472 is an equidigital number, since it uses as much as digits as its factorization.

6428201472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 6428201472 is about 80176.0654559701. The cubic root of 6428201472 is about 1859.3586134025.

The spelling of 6428201472 in words is "six billion, four hundred twenty-eight million, two hundred one thousand, four hundred seventy-two".