5630658969600 has 1536 divisors, whose sum is σ = 24246398131200. Its totient is φ = 1254201753600.

The previous prime is 5630658969589. The next prime is 5630658969613. The reversal of 5630658969600 is 69698560365.

5630658969600 is a `hidden beast` number, since 563 + 0 + 6 + 5 + 8 + 9 + 6 + 9 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6347980357 + ... + 6347981243.

It is an arithmetic number, because the mean of its divisors is an integer number (15785415450).

Almost surely, 2^{5630658969600} is an apocalyptic number.

5630658969600 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 5630658969600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12123199065600).

5630658969600 is an abundant number, since it is smaller than the sum of its proper divisors (18615739161600).

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

5630658969600 is an equidigital number, since it uses as much as digits as its factorization.

5630658969600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 62985600, while the sum is 63.

The spelling of 5630658969600 in words is "five trillion, six hundred thirty billion, six hundred fifty-eight million, nine hundred sixty-nine thousand, six hundred".