6292222656720 has 1920 divisors, whose sum is σ = 27289853337600. Its totient is φ = 1178634240000.

The previous prime is 6292222656719. The next prime is 6292222656749. The reversal of 6292222656720 is 276562222926.

It is a super-3 number, since 3×6292222656720³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 18029291106 + ... + 18029291454.

It is an arithmetic number, because the mean of its divisors is an integer number (14213465280).

Almost surely, 2^{6292222656720} is an apocalyptic number.

6292222656720 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 6292222656720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13644926668800).

6292222656720 is an abundant number, since it is smaller than the sum of its proper divisors (20997630680880).

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

6292222656720 is a wasteful number, since it uses less digits than its factorization.

6292222656720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 51.

The spelling of 6292222656720 in words is "six trillion, two hundred ninety-two billion, two hundred twenty-two million, six hundred fifty-six thousand, seven hundred twenty".