5648946969600 has 1584 divisors, whose sum is σ = 23558731073280. Its totient is φ = 1278797414400.

The previous prime is 5648946969541. The next prime is 5648946969629. The reversal of 5648946969600 is 69696498465.

5648946969600 is a `hidden beast` number, since 5 + 6 + 4 + 8 + 9 + 4 + 6 + 9 + 6 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3515211997 + ... + 3515213603.

Almost surely, 2^{5648946969600} is an apocalyptic number.

5648946969600 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 5648946969600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11779365536640).

5648946969600 is an abundant number, since it is smaller than the sum of its proper divisors (17909784103680).

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

5648946969600 is a wasteful number, since it uses less digits than its factorization.

5648946969600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1746 (or 1720 counting only the distinct ones).

The product of its (nonzero) digits is 604661760, while the sum is 72.

The spelling of 5648946969600 in words is "five trillion, six hundred forty-eight billion, nine hundred forty-six million, nine hundred sixty-nine thousand, six hundred".