5687667600 has 120 divisors (see below), whose sum is σ = 18664034592. Its totient is φ = 1479705600.

The previous prime is 5687667589. The next prime is 5687667607. The reversal of 5687667600 is 67667865.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (5687667607) 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, 8602 + ... + 107001.

Almost surely, 2^5687667600 is an apocalyptic number.

5687667600 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 5687667600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9332017296).

5687667600 is an abundant number, since it is smaller than the sum of its proper divisors (12976366992).

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

5687667600 is a wasteful number, since it uses less digits than its factorization.

5687667600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115665 (or 115654 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 51.

The square root of 5687667600 is about 75416.6268139858. The cubic root of 5687667600 is about 1785.0267789374.

The spelling of 5687667600 in words is "five billion, six hundred eighty-seven million, six hundred sixty-seven thousand, six hundred".