6430622400 has 630 divisors, whose sum is σ = 24895462020. Its totient is φ = 1627637760.

The previous prime is 6430622377. The next prime is 6430622461. The reversal of 6430622400 is 42260346.

6430622400 is a `hidden beast` number, since 6 + 4 + 30 + 622 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 108993571 + ... + 108993629.

Almost surely, 2^6430622400 is an apocalyptic number.

6430622400 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 6430622400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12447731010).

6430622400 is an abundant number, since it is smaller than the sum of its proper divisors (18464839620).

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

6430622400 is a wasteful number, since it uses less digits than its factorization.

6430622400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 6430622400 is about 80191.1616077483. The cubic root of 6430622400 is about 1859.5920020820.

Adding to 6430622400 its reverse (42260346), we get a palindrome (6472882746).

The spelling of 6430622400 in words is "six billion, four hundred thirty million, six hundred twenty-two thousand, four hundred".