5601484800 has 336 divisors, whose sum is σ = 20599328880. Its totient is φ = 1492254720.

The previous prime is 5601484799. The next prime is 5601484807. The reversal of 5601484800 is 84841065.

5601484800 is a `hidden beast` number, since 5 + 601 + 4 + 8 + 48 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5601484807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5529094 + ... + 5530106.

Almost surely, 2^5601484800 is an apocalyptic number.

5601484800 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 5601484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10299664440).

5601484800 is an abundant number, since it is smaller than the sum of its proper divisors (14997844080).

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

5601484800 is a wasteful number, since it uses less digits than its factorization.

5601484800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 5601484800 is about 74843.0678152626. The cubic root of 5601484800 is about 1775.9649372187.

The spelling of 5601484800 in words is "five billion, six hundred one million, four hundred eighty-four thousand, eight hundred".