5974848000 has 960 divisors, whose sum is σ = 25094893824. Its totient is φ = 1351680000.

The previous prime is 5974847941. The next prime is 5974848001. The reversal of 5974848000 is 8484795.

5974848000 is a `hidden beast` number, since 5 + 97 + 484 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is not an unprimeable number, because it can be changed into a prime (5974848001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 145727980 + ... + 145728020.

Almost surely, 2^5974848000 is an apocalyptic number.

5974848000 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 5974848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12547446912).

5974848000 is an abundant number, since it is smaller than the sum of its proper divisors (19120045824).

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

5974848000 is a wasteful number, since it uses less digits than its factorization.

5974848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 5974848000 is about 77297.1409561828. The cubic root of 5974848000 is about 1814.5779133696.

The spelling of 5974848000 in words is "five billion, nine hundred seventy-four million, eight hundred forty-eight thousand".