6793110213120 has 3840 divisors, whose sum is σ = 33103481241600. Its totient is φ = 1287556300800.

The previous prime is 6793110213107. The next prime is 6793110213133. The reversal of 6793110213120 is 213120113976.

6793110213120 is a `hidden beast` number, since 6 + 7 + 9 + 311 + 0 + 21 + 312 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6793110213107) and next prime (6793110213133).

It is a tau number, because it is divible by the number of its divisors (3840).

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is a super-2 number, since 2×6793110213120² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 383 ways as a sum of consecutive naturals, for example, 34482792862 + ... + 34482793058.

It is an arithmetic number, because the mean of its divisors is an integer number (8620698240).

Almost surely, 2^{6793110213120} is an apocalyptic number.

6793110213120 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 6793110213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16551740620800).

6793110213120 is an abundant number, since it is smaller than the sum of its proper divisors (26310371028480).

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

6793110213120 is a wasteful number, since it uses less digits than its factorization.

6793110213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 6793110213120 in words is "six trillion, seven hundred ninety-three billion, one hundred ten million, two hundred thirteen thousand, one hundred twenty".