5376067200 has 480 divisors, whose sum is σ = 22680646560. Its totient is φ = 1228400640.

The previous prime is 5376067171. The next prime is 5376067201. The reversal of 5376067200 is 27606735.

It is a happy number.

5376067200 is a `hidden beast` number, since 537 + 60 + 67 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5376067201) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1812919 + ... + 1815881.

It is an arithmetic number, because the mean of its divisors is an integer number (47251347).

Almost surely, 2^5376067200 is an apocalyptic number.

5376067200 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 5376067200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11340323280).

5376067200 is an abundant number, since it is smaller than the sum of its proper divisors (17304579360).

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

5376067200 is a wasteful number, since it uses less digits than its factorization.

5376067200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3006 (or 2980 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 5376067200 is about 73321.6693754309. The cubic root of 5376067200 is about 1751.8149551233.

The spelling of 5376067200 in words is "five billion, three hundred seventy-six million, sixty-seven thousand, two hundred".