5604777600 has 384 divisors, whose sum is σ = 19902386880. Its totient is φ = 1381171200.

The previous prime is 5604777569. The next prime is 5604777611. The reversal of 5604777600 is 67774065.

It is a tau number, because it is divible by the number of its divisors (384).

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, 9954919 + ... + 9955481.

Almost surely, 2^5604777600 is an apocalyptic number.

5604777600 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 5604777600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9951193440).

5604777600 is an abundant number, since it is smaller than the sum of its proper divisors (14297609280).

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

5604777600 is a wasteful number, since it uses less digits than its factorization.

5604777600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 42.

The square root of 5604777600 is about 74865.0626126767. The cubic root of 5604777600 is about 1776.3128659104.

The spelling of 5604777600 in words is "five billion, six hundred four million, seven hundred seventy-seven thousand, six hundred".