6023942400 has 648 divisors, whose sum is σ = 24415416480. Its totient is φ = 1300561920.

The previous prime is 6023942399. The next prime is 6023942417. The reversal of 6023942400 is 42493206.

It is a super-3 number, since 3×6023942400³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 71 ways as a sum of consecutive naturals, for example, 17875032 + ... + 17875368.

Almost surely, 2^6023942400 is an apocalyptic number.

6023942400 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 6023942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12207708240).

6023942400 is an abundant number, since it is smaller than the sum of its proper divisors (18391474080).

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

6023942400 is a wasteful number, since it uses less digits than its factorization.

6023942400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 6023942400 is about 77614.0605818301. The cubic root of 6023942400 is about 1819.5343976625.

The spelling of 6023942400 in words is "six billion, twenty-three million, nine hundred forty-two thousand, four hundred".