5008374000 has 240 divisors, whose sum is σ = 19992024000. Its totient is φ = 1144742400.

The previous prime is 5008373977. The next prime is 5008374013. The reversal of 5008374000 is 4738005.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

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, 106126 + ... + 145874.

It is an arithmetic number, because the mean of its divisors is an integer number (83300100).

Almost surely, 2^5008374000 is an apocalyptic number.

5008374000 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 5008374000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9996012000).

5008374000 is an abundant number, since it is smaller than the sum of its proper divisors (14983650000).

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

5008374000 is a wasteful number, since it uses less digits than its factorization.

5008374000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39785 (or 39766 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 5008374000 is about 70769.8664687168. The cubic root of 5008374000 is about 1710.9300368099.

The spelling of 5008374000 in words is "five billion, eight million, three hundred seventy-four thousand".