5630017680 has 720 divisors, whose sum is σ = 23882489280. Its totient is φ = 1180956672.

The previous prime is 5630017637. The next prime is 5630017681. The reversal of 5630017680 is 867100365.

5630017680 is a `hidden beast` number, since 5 + 630 + 0 + 17 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×5630017680² = 63394198154225164800, 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 (5630017681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 24801727 + ... + 24801953.

It is an arithmetic number, because the mean of its divisors is an integer number (33170124).

Almost surely, 2^5630017680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5630017680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11941244640).

5630017680 is an abundant number, since it is smaller than the sum of its proper divisors (18252471600).

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

5630017680 is a wasteful number, since it uses less digits than its factorization.

5630017680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 300 counting only the distinct ones).

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

The square root of 5630017680 is about 75033.4437434402. The cubic root of 5630017680 is about 1778.9753055257.

The spelling of 5630017680 in words is "five billion, six hundred thirty million, seventeen thousand, six hundred eighty".