6420106110720 has 432 divisors, whose sum is σ = 21704243482656. Its totient is φ = 1616353689600.

The previous prime is 6420106110703. The next prime is 6420106110787. The reversal of 6420106110720 is 270116010246.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 47 ways as a sum of consecutive naturals, for example, 151278624 + ... + 151321056.

It is an arithmetic number, because the mean of its divisors is an integer number (50241304358).

Almost surely, 2^{6420106110720} is an apocalyptic number.

6420106110720 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 6420106110720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10852121741328).

6420106110720 is an abundant number, since it is smaller than the sum of its proper divisors (15284137371936).

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

6420106110720 is a wasteful number, since it uses less digits than its factorization.

6420106110720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42560 (or 42515 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The spelling of 6420106110720 in words is "six trillion, four hundred twenty billion, one hundred six million, one hundred ten thousand, seven hundred twenty".