6787018741440 has 672 divisors, whose sum is σ = 25296934521600. Its totient is φ = 1537132584960.

The previous prime is 6787018741403. The next prime is 6787018741499. The reversal of 6787018741440 is 441478107876.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-3 number, since 3×6787018741440³ (a number of 39 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6348941226 + ... + 6348942294.

It is an arithmetic number, because the mean of its divisors is an integer number (37644247800).

Almost surely, 2^{6787018741440} is an apocalyptic number.

6787018741440 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 6787018741440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12648467260800).

6787018741440 is an abundant number, since it is smaller than the sum of its proper divisors (18509915780160).

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

6787018741440 is a wasteful number, since it uses less digits than its factorization.

6787018741440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2213 (or 2196 counting only the distinct ones).

The product of its (nonzero) digits is 8429568, while the sum is 57.

The spelling of 6787018741440 in words is "six trillion, seven hundred eighty-seven billion, eighteen million, seven hundred forty-one thousand, four hundred forty".