5074944000 has 512 divisors, whose sum is σ = 19629043200. Its totient is φ = 1140326400.

The previous prime is 5074943999. The next prime is 5074944031. The reversal of 5074944000 is 4494705.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (512).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86015971 + ... + 86016029.

It is an arithmetic number, because the mean of its divisors is an integer number (38337975).

Almost surely, 2^5074944000 is an apocalyptic number.

5074944000 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 5074944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9814521600).

5074944000 is an abundant number, since it is smaller than the sum of its proper divisors (14554099200).

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

5074944000 is an frugal number, since it uses more digits than its factorization.

5074944000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 5074944000 is about 71238.6411998432. The cubic root of 5074944000 is about 1718.4771088508.

It can be divided in two parts, 50749 and 44000, that added together give a palindrome (94749).

The spelling of 5074944000 in words is "five billion, seventy-four million, nine hundred forty-four thousand".