6405067200 has 672 divisors, whose sum is σ = 25801523200. Its totient is φ = 1358622720.

The previous prime is 6405067189. The next prime is 6405067241. The reversal of 6405067200 is 27605046.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50433537 + ... + 50433663.

Almost surely, 2^6405067200 is an apocalyptic number.

6405067200 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 6405067200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12900761600).

6405067200 is an abundant number, since it is smaller than the sum of its proper divisors (19396456000).

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

6405067200 is a wasteful number, since it uses less digits than its factorization.

6405067200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 6405067200 is about 80031.6637337998. The cubic root of 6405067200 is about 1857.1254012448.

The spelling of 6405067200 in words is "six billion, four hundred five million, sixty-seven thousand, two hundred".