6720887368800 has 288 divisors, whose sum is σ = 26516956556160. Its totient is φ = 1629305971200.

The previous prime is 6720887368763. The next prime is 6720887368801. The reversal of 6720887368800 is 88637880276.

6720887368800 is a `hidden beast` number, since 67 + 208 + 8 + 7 + 368 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6720887368801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13905682 + ... + 14380881.

It is an arithmetic number, because the mean of its divisors is an integer number (92072765820).

Almost surely, 2^{6720887368800} is an apocalyptic number.

6720887368800 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6720887368800 is an abundant number, since it is smaller than the sum of its proper divisors (19796069187360).

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

6720887368800 is a wasteful number, since it uses less digits than its factorization.

6720887368800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28286603 (or 28286584 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 6720887368800 in words is "six trillion, seven hundred twenty billion, eight hundred eighty-seven million, three hundred sixty-eight thousand, eight hundred".