6803112162240 has 1120 divisors, whose sum is σ = 26000786972160. Its totient is φ = 1684692172800.

The previous prime is 6803112162181. The next prime is 6803112162313. The reversal of 6803112162240 is 422612113086.

It is a happy number.

6803112162240 is a `hidden beast` number, since 6 + 8 + 0 + 3 + 1 + 1 + 21 + 622 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 6803112162195 and 6803112162204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4217675674 + ... + 4217677286.

It is an arithmetic number, because the mean of its divisors is an integer number (23214988368).

Almost surely, 2^{6803112162240} is an apocalyptic number.

6803112162240 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 6803112162240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13000393486080).

6803112162240 is an abundant number, since it is smaller than the sum of its proper divisors (19197674809920).

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

6803112162240 is a wasteful number, since it uses less digits than its factorization.

6803112162240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1883 (or 1864 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 6803112162240 in words is "six trillion, eight hundred three billion, one hundred twelve million, one hundred sixty-two thousand, two hundred forty".