6922782720000 has 2400 divisors, whose sum is σ = 30299775968000. Its totient is φ = 1560674304000.

The previous prime is 6922782719981. The next prime is 6922782720017. The reversal of 6922782720000 is 272872296.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 94832639964 + ... + 94832640036.

Almost surely, 2^{6922782720000} is an apocalyptic number.

6922782720000 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 6922782720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15149887984000).

6922782720000 is an abundant number, since it is smaller than the sum of its proper divisors (23376993248000).

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

6922782720000 is an frugal number, since it uses more digits than its factorization.

6922782720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 6922782720000 in words is "six trillion, nine hundred twenty-two billion, seven hundred eighty-two million, seven hundred twenty thousand".