5801673600 has 384 divisors, whose sum is σ = 21520572000. Its totient is φ = 1545246720.

The previous prime is 5801673557. The next prime is 5801673637. The reversal of 5801673600 is 63761085.

5801673600 is a `hidden beast` number, since 580 + 1 + 6 + 73 + 6 + 0 + 0 = 666.

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

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, 6997986 + ... + 6998814.

Almost surely, 2^5801673600 is an apocalyptic number.

5801673600 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 5801673600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10760286000).

5801673600 is an abundant number, since it is smaller than the sum of its proper divisors (15718898400).

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

5801673600 is an frugal number, since it uses more digits than its factorization.

5801673600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 5801673600 is about 76168.7179884236. The cubic root of 5801673600 is about 1796.8745763225.

The spelling of 5801673600 in words is "five billion, eight hundred one million, six hundred seventy-three thousand, six hundred".