6069974400 has 288 divisors, whose sum is σ = 24754033200. Its totient is φ = 1387376640.

The previous prime is 6069974359. The next prime is 6069974453. The reversal of 6069974400 is 44799606.

6069974400 is a `hidden beast` number, since 60 + 69 + 97 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 186546 + ... + 216654.

Almost surely, 2^6069974400 is an apocalyptic number.

6069974400 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 6069974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12377016600).

6069974400 is an abundant number, since it is smaller than the sum of its proper divisors (18684058800).

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

6069974400 is a wasteful number, since it uses less digits than its factorization.

6069974400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30146 (or 30126 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 6069974400 is about 77910.0404312564. The cubic root of 6069974400 is about 1824.1573040697.

The spelling of 6069974400 in words is "six billion, sixty-nine million, nine hundred seventy-four thousand, four hundred".