6542438400 has 468 divisors, whose sum is σ = 24295161280. Its totient is φ = 1680998400.

The previous prime is 6542438393. The next prime is 6542438411. The reversal of 6542438400 is 48342456.

6542438400 is a `hidden beast` number, since 6 + 5 + 4 + 243 + 8 + 400 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28569486 + ... + 28569714.

Almost surely, 2^6542438400 is an apocalyptic number.

6542438400 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 6542438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12147580640).

6542438400 is an abundant number, since it is smaller than the sum of its proper divisors (17752722880).

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

6542438400 is a wasteful number, since it uses less digits than its factorization.

6542438400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 6542438400 is about 80885.3410699368. The cubic root of 6542438400 is about 1870.3083556439.

The spelling of 6542438400 in words is "six billion, five hundred forty-two million, four hundred thirty-eight thousand, four hundred".