5324961600 has 336 divisors, whose sum is σ = 22185782400. Its totient is φ = 1217064960.

The previous prime is 5324961563. The next prime is 5324961617. The reversal of 5324961600 is 61694235.

It is a happy number.

5324961600 is a `hidden beast` number, since 5 + 3 + 2 + 49 + 6 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 293596 + ... + 311204.

Almost surely, 2^5324961600 is an apocalyptic number.

5324961600 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 5324961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11092891200).

5324961600 is an abundant number, since it is smaller than the sum of its proper divisors (16860820800).

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

5324961600 is a wasteful number, since it uses less digits than its factorization.

5324961600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17647 (or 17626 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 5324961600 is about 72972.3344836932. The cubic root of 5324961600 is about 1746.2462778923.

The spelling of 5324961600 in words is "five billion, three hundred twenty-four million, nine hundred sixty-one thousand, six hundred".