6861761514720 has 1440 divisors, whose sum is σ = 29734943404320. Its totient is φ = 1481734840320.

The previous prime is 6861761514691. The next prime is 6861761514791. The reversal of 6861761514720 is 274151671686.

6861761514720 is a `hidden beast` number, since 6 + 8 + 6 + 1 + 7 + 615 + 14 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 6720627810 + ... + 6720628830.

It is an arithmetic number, because the mean of its divisors is an integer number (20649266253).

Almost surely, 2^{6861761514720} is an apocalyptic number.

6861761514720 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 6861761514720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14867471702160).

6861761514720 is an abundant number, since it is smaller than the sum of its proper divisors (22873181889600).

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

6861761514720 is a wasteful number, since it uses less digits than its factorization.

6861761514720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1638 (or 1614 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 6861761514720 in words is "six trillion, eight hundred sixty-one billion, seven hundred sixty-one million, five hundred fourteen thousand, seven hundred twenty".