6467630400 has 1008 divisors, whose sum is σ = 30266396160. Its totient is φ = 1269043200.

The previous prime is 6467630353. The next prime is 6467630401. The reversal of 6467630400 is 40367646.

6467630400 is a `hidden beast` number, since 646 + 7 + 6 + 3 + 0 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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 (6467630401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21067047 + ... + 21067353.

Almost surely, 2^6467630400 is an apocalyptic number.

6467630400 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 6467630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15133198080).

6467630400 is an abundant number, since it is smaller than the sum of its proper divisors (23798765760).

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

6467630400 is a wasteful number, since it uses less digits than its factorization.

6467630400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 6467630400 is about 80421.5791936468. The cubic root of 6467630400 is about 1863.1524756290.

The spelling of 6467630400 in words is "six billion, four hundred sixty-seven million, six hundred thirty thousand, four hundred".