5274460800 has 1344 divisors, whose sum is σ = 24883675200. Its totient is φ = 1074954240.

The previous prime is 5274460747. The next prime is 5274460801. The reversal of 5274460800 is 80644725.

5274460800 is a `hidden beast` number, since 5 + 2 + 7 + 44 + 608 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 (5274460801) by changing a digit.

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 167 ways as a sum of consecutive naturals, for example, 277603191 + ... + 277603209.

Almost surely, 2^5274460800 is an apocalyptic number.

5274460800 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 5274460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12441837600).

5274460800 is an abundant number, since it is smaller than the sum of its proper divisors (19609214400).

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

5274460800 is a wasteful number, since it uses less digits than its factorization.

5274460800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 5274460800 is about 72625.4831309231. The cubic root of 5274460800 is about 1740.7083917019.

The spelling of 5274460800 in words is "five billion, two hundred seventy-four million, four hundred sixty thousand, eight hundred".