6430200768 has 224 divisors, whose sum is σ = 20304069120. Its totient is φ = 1988259840.

The previous prime is 6430200767. The next prime is 6430200793. The reversal of 6430200768 is 8670020346.

6430200768 is a `hidden beast` number, since 643 + 0 + 2 + 0 + 0 + 7 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6430200767) 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, 2084155 + ... + 2087237.

Almost surely, 2^6430200768 is an apocalyptic number.

6430200768 is a gapful number since it is divisible by the number (68) 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 6430200768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10152034560).

6430200768 is an abundant number, since it is smaller than the sum of its proper divisors (13873868352).

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

6430200768 is a wasteful number, since it uses less digits than its factorization.

6430200768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3192 (or 3176 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 6430200768 is about 80188.5326465075. The cubic root of 6430200768 is about 1859.5513590160.

The spelling of 6430200768 in words is "six billion, four hundred thirty million, two hundred thousand, seven hundred sixty-eight".