6860981749440 has 224 divisors, whose sum is σ = 26810605946880. Its totient is φ = 1447591735296.

The previous prime is 6860981749417. The next prime is 6860981749463. The reversal of 6860981749440 is 449471890686.

It is an interprime number because it is at equal distance from previous prime (6860981749417) and next prime (6860981749463).

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×6860981749440³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 31 ways as a sum of consecutive naturals, for example, 39181080 + ... + 39355799.

It is an arithmetic number, because the mean of its divisors is an integer number (119690205120).

Almost surely, 2^{6860981749440} is an apocalyptic number.

6860981749440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6860981749440 is an abundant number, since it is smaller than the sum of its proper divisors (19949624197440).

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

6860981749440 is a wasteful number, since it uses less digits than its factorization.

6860981749440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78536919 (or 78536909 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 66.

The spelling of 6860981749440 in words is "six trillion, eight hundred sixty billion, nine hundred eighty-one million, seven hundred forty-nine thousand, four hundred forty".