5687193600 has 936 divisors, whose sum is σ = 24315474960. Its totient is φ = 1297612800.

The previous prime is 5687193587. The next prime is 5687193607. The reversal of 5687193600 is 63917865.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (5687193607) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 334540792 + ... + 334540808.

Almost surely, 2^5687193600 is an apocalyptic number.

5687193600 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 5687193600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12157737480).

5687193600 is an abundant number, since it is smaller than the sum of its proper divisors (18628281360).

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

5687193600 is a wasteful number, since it uses less digits than its factorization.

5687193600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 5687193600 is about 75413.4842054125. The cubic root of 5687193600 is about 1784.9771905849.

The spelling of 5687193600 in words is "five billion, six hundred eighty-seven million, one hundred ninety-three thousand, six hundred".