5934784800 has 288 divisors, whose sum is σ = 22154332032. Its totient is φ = 1351802880.

The previous prime is 5934784787. The next prime is 5934784819. The reversal of 5934784800 is 84874395.

It is a super-2 number, since 2×5934784800² = 70443341244622080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5934784800.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7677214 + ... + 7677986.

It is an arithmetic number, because the mean of its divisors is an integer number (76924764).

Almost surely, 2^5934784800 is an apocalyptic number.

5934784800 is a gapful number since it is divisible by the number (50) 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 5934784800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11077166016).

5934784800 is an abundant number, since it is smaller than the sum of its proper divisors (16219547232).

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

5934784800 is a wasteful number, since it uses less digits than its factorization.

5934784800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1260 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The square root of 5934784800 is about 77037.5544783192. The cubic root of 5934784800 is about 1810.5130460609.

The spelling of 5934784800 in words is "five billion, nine hundred thirty-four million, seven hundred eighty-four thousand, eight hundred".