5379847200 has 1728 divisors, whose sum is σ = 26930776320. Its totient is φ = 1021870080.

The previous prime is 5379847157. The next prime is 5379847211. The reversal of 5379847200 is 27489735.

5379847200 is a `hidden beast` number, since 537 + 98 + 4 + 7 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 233906389 + ... + 233906411.

It is an arithmetic number, because the mean of its divisors is an integer number (15584940).

Almost surely, 2^5379847200 is an apocalyptic number.

5379847200 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 5379847200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13465388160).

5379847200 is an abundant number, since it is smaller than the sum of its proper divisors (21550929120).

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

5379847200 is a wasteful number, since it uses less digits than its factorization.

5379847200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 5379847200 is about 73347.4416731763. The cubic root of 5379847200 is about 1752.2254354311.

The spelling of 5379847200 in words is "five billion, three hundred seventy-nine million, eight hundred forty-seven thousand, two hundred".