5000374400 has 384 divisors, whose sum is σ = 15379968000. Its totient is φ = 1567641600.

The previous prime is 5000374399. The next prime is 5000374403. The reversal of 5000374400 is 44730005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5000374403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13193411 + ... + 13193789.

It is an arithmetic number, because the mean of its divisors is an integer number (40052000).

Almost surely, 2^5000374400 is an apocalyptic number.

5000374400 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 5000374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7689984000).

5000374400 is an abundant number, since it is smaller than the sum of its proper divisors (10379593600).

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

5000374400 is a wasteful number, since it uses less digits than its factorization.

5000374400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 23.

The square root of 5000374400 is about 70713.3254768859. The cubic root of 5000374400 is about 1710.0186266111.

The spelling of 5000374400 in words is "five billion, three hundred seventy-four thousand, four hundred".