6653948716800 has 1944 divisors, whose sum is σ = 31331997540480. Its totient is φ = 1305206784000.

The previous prime is 6653948716771. The next prime is 6653948716801. The reversal of 6653948716800 is 86178493566.

6653948716800 is a `hidden beast` number, since 6 + 6 + 5 + 394 + 87 + 168 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6653948716801) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 23679532660 + ... + 23679532940.

Almost surely, 2^{6653948716800} is an apocalyptic number.

6653948716800 is a gapful number since it is divisible by the number (60) 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 6653948716800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15665998770240).

6653948716800 is an abundant number, since it is smaller than the sum of its proper divisors (24678048823680).

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

6653948716800 is a wasteful number, since it uses less digits than its factorization.

6653948716800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 6653948716800 in words is "six trillion, six hundred fifty-three billion, nine hundred forty-eight million, seven hundred sixteen thousand, eight hundred".