6722627788800 has 3360 divisors, whose sum is σ = 32800957390080. Its totient is φ = 1318610534400.

The previous prime is 6722627788787. The next prime is 6722627788823. The reversal of 6722627788800 is 88877262276.

6722627788800 is a `hidden beast` number, since 67 + 226 + 277 + 8 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

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 239 ways as a sum of consecutive naturals, for example, 24269414262 + ... + 24269414538.

Almost surely, 2^{6722627788800} is an apocalyptic number.

6722627788800 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 6722627788800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16400478695040).

6722627788800 is an abundant number, since it is smaller than the sum of its proper divisors (26078329601280).

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

6722627788800 is a wasteful number, since it uses less digits than its factorization.

6722627788800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 50577408, while the sum is 63.

The spelling of 6722627788800 in words is "six trillion, seven hundred twenty-two billion, six hundred twenty-seven million, seven hundred eighty-eight thousand, eight hundred".