6924134400 has 288 divisors, whose sum is σ = 23296946400. Its totient is φ = 1813708800.

The previous prime is 6924134389. The next prime is 6924134401. The reversal of 6924134400 is 44314296.

It is not an unprimeable number, because it can be changed into a prime (6924134401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9369231 + ... + 9369969.

It is an arithmetic number, because the mean of its divisors is an integer number (80892175).

Almost surely, 2^6924134400 is an apocalyptic number.

6924134400 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 6924134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11648473200).

6924134400 is an abundant number, since it is smaller than the sum of its proper divisors (16372812000).

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

6924134400 is a wasteful number, since it uses less digits than its factorization.

6924134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 6924134400 is about 83211.3838365881. The cubic root of 6924134400 is about 1905.9953189808.

Adding to 6924134400 its reverse (44314296), we get a palindrome (6968448696).

The spelling of 6924134400 in words is "six billion, nine hundred twenty-four million, one hundred thirty-four thousand, four hundred".