5374664000 has 168 divisors, whose sum is σ = 13609932648. Its totient is φ = 2102476800.

The previous prime is 5374663961. The next prime is 5374664011. The reversal of 5374664000 is 4664735.

It can be written as a sum of positive squares in 4 ways, for example, as 625800256 + 4748863744 = 25016^2 + 68912^2 .

It is a super-2 number, since 2×5374664000² = 57774026225792000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27847904 + ... + 27848096.

Almost surely, 2^5374664000 is an apocalyptic number.

5374664000 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 5374664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6804966324).

5374664000 is an abundant number, since it is smaller than the sum of its proper divisors (8235268648).

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

5374664000 is an equidigital number, since it uses as much as digits as its factorization.

5374664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 35.

The square root of 5374664000 is about 73312.0999562828. The cubic root of 5374664000 is about 1751.6625289134.

The spelling of 5374664000 in words is "five billion, three hundred seventy-four million, six hundred sixty-four thousand".