6424934400 has 432 divisors, whose sum is σ = 23447249280. Its totient is φ = 1680998400.

The previous prime is 6424934363. The next prime is 6424934407. The reversal of 6424934400 is 44394246.

6424934400 is a `hidden beast` number, since 6 + 4 + 249 + 3 + 4 + 400 = 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 (6424934407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33638305 + ... + 33638495.

It is an arithmetic number, because the mean of its divisors is an integer number (54276040).

Almost surely, 2^6424934400 is an apocalyptic number.

6424934400 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 6424934400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11723624640).

6424934400 is an abundant number, since it is smaller than the sum of its proper divisors (17022314880).

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

6424934400 is a wasteful number, since it uses less digits than its factorization.

6424934400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 6424934400 is about 80155.6885068053. The cubic root of 6424934400 is about 1859.0435596035.

The spelling of 6424934400 in words is "six billion, four hundred twenty-four million, nine hundred thirty-four thousand, four hundred".