6023354400 has 720 divisors, whose sum is σ = 25710854400. Its totient is φ = 1371686400.

The previous prime is 6023354399. The next prime is 6023354413. The reversal of 6023354400 is 44533206.

6023354400 is a `hidden beast` number, since 602 + 3 + 3 + 54 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 22226265 + ... + 22226535.

It is an arithmetic number, because the mean of its divisors is an integer number (35709520).

Almost surely, 2^6023354400 is an apocalyptic number.

6023354400 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 6023354400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12855427200).

6023354400 is an abundant number, since it is smaller than the sum of its proper divisors (19687500000).

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

6023354400 is a wasteful number, since it uses less digits than its factorization.

6023354400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 6023354400 is about 77610.2725159498. The cubic root of 6023354400 is about 1819.4751938517.

Adding to 6023354400 its reverse (44533206), we get a palindrome (6067887606).

The spelling of 6023354400 in words is "six billion, twenty-three million, three hundred fifty-four thousand, four hundred".