5374824000 has 896 divisors, whose sum is σ = 23006011392. Its totient is φ = 1074585600.

The previous prime is 5374823941. The next prime is 5374824017. The reversal of 5374824000 is 4284735.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 50231947 + ... + 50232053.

It is an arithmetic number, because the mean of its divisors is an integer number (25676352).

Almost surely, 2^5374824000 is an apocalyptic number.

5374824000 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 5374824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11503005696).

5374824000 is an abundant number, since it is smaller than the sum of its proper divisors (17631187392).

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

5374824000 is a wasteful number, since it uses less digits than its factorization.

5374824000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 5374824000 is about 73313.1911732125. The cubic root of 5374824000 is about 1751.6799106650.

The spelling of 5374824000 in words is "five billion, three hundred seventy-four million, eight hundred twenty-four thousand".