6418790400 has 576 divisors, whose sum is σ = 24129705600. Its totient is φ = 1490944000.

The previous prime is 6418790381. The next prime is 6418790407. The reversal of 6418790400 is 40978146.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6418790407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48998335 + ... + 48998465.

It is an arithmetic number, because the mean of its divisors is an integer number (41891850).

Almost surely, 2^6418790400 is an apocalyptic number.

6418790400 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 6418790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12064852800).

6418790400 is an abundant number, since it is smaller than the sum of its proper divisors (17710915200).

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

6418790400 is a wasteful number, since it uses less digits than its factorization.

6418790400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 6418790400 is about 80117.3539253513. The cubic root of 6418790400 is about 1858.4507853847.

The spelling of 6418790400 in words is "six billion, four hundred eighteen million, seven hundred ninety thousand, four hundred".