6430201008 has 480 divisors, whose sum is σ = 22581411840. Its totient is φ = 1554577920.

The previous prime is 6430201007. The next prime is 6430201031. The reversal of 6430201008 is 8001020346.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (6430201003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50631441 + ... + 50631567.

It is an arithmetic number, because the mean of its divisors is an integer number (47044608).

Almost surely, 2^6430201008 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 6430201008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11290705920).

6430201008 is an abundant number, since it is smaller than the sum of its proper divisors (16151210832).

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

6430201008 is a wasteful number, since it uses less digits than its factorization.

6430201008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 6430201008 is about 80188.5341429808. The cubic root of 6430201008 is about 1859.5513821512.

The spelling of 6430201008 in words is "six billion, four hundred thirty million, two hundred one thousand, eight".