5607684000 has 384 divisors, whose sum is σ = 20615212800. Its totient is φ = 1480550400.

The previous prime is 5607683993. The next prime is 5607684001. The reversal of 5607684000 is 4867065.

It is a happy number.

5607684000 is a `hidden beast` number, since 5 + 607 + 6 + 8 + 40 + 0 + 0 = 666.

It is a super-2 number, since 2×5607684000² = 62892239687712000000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (5607684001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14795811 + ... + 14796189.

It is an arithmetic number, because the mean of its divisors is an integer number (53685450).

Almost surely, 2^5607684000 is an apocalyptic number.

5607684000 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 5607684000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10307606400).

5607684000 is an abundant number, since it is smaller than the sum of its proper divisors (15007528800).

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

5607684000 is a wasteful number, since it uses less digits than its factorization.

5607684000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 5607684000 is about 74884.4710203658. The cubic root of 5607684000 is about 1776.6198530297.

The spelling of 5607684000 in words is "five billion, six hundred seven million, six hundred eighty-four thousand".