5630667163200 has 1008 divisors, whose sum is σ = 20878654305600. Its totient is φ = 1438029987840.

The previous prime is 5630667163181. The next prime is 5630667163201. The reversal of 5630667163200 is 23617660365.

5630667163200 is a `hidden beast` number, since 5 + 6 + 3 + 0 + 6 + 6 + 7 + 1 + 632 + 0 + 0 = 666.

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 (5630667163201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16133716626 + ... + 16133716974.

It is an arithmetic number, because the mean of its divisors is an integer number (20712950700).

Almost surely, 2^{5630667163200} is an apocalyptic number.

5630667163200 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 5630667163200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10439327152800).

5630667163200 is an abundant number, since it is smaller than the sum of its proper divisors (15247987142400).

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

5630667163200 is a wasteful number, since it uses less digits than its factorization.

5630667163200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 5630667163200 in words is "five trillion, six hundred thirty billion, six hundred sixty-seven million, one hundred sixty-three thousand, two hundred".