5978372400 has 1440 divisors, whose sum is σ = 29448115200. Its totient is φ = 1132185600.

The previous prime is 5978372383. The next prime is 5978372437. The reversal of 5978372400 is 42738795.

5978372400 is a `hidden beast` number, since 597 + 8 + 37 + 24 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 75675561 + ... + 75675639.

It is an arithmetic number, because the mean of its divisors is an integer number (20450080).

Almost surely, 2^5978372400 is an apocalyptic number.

5978372400 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 5978372400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14724057600).

5978372400 is an abundant number, since it is smaller than the sum of its proper divisors (23469742800).

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

5978372400 is a wasteful number, since it uses less digits than its factorization.

5978372400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 5978372400 is about 77319.9353336512. The cubic root of 5978372400 is about 1814.9346332582.

The spelling of 5978372400 in words is "five billion, nine hundred seventy-eight million, three hundred seventy-two thousand, four hundred".