67881115985760 has 6048 divisors, whose sum is σ = 336941431706880. Its totient is φ = 12601957294080.

The previous prime is 67881115985743. The next prime is 67881115985773. The reversal of 67881115985760 is 6758951118876.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (6048).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1007 ways as a sum of consecutive naturals, for example, 1578630604299 + ... + 1578630604341.

It is an arithmetic number, because the mean of its divisors is an integer number (55711215560).

Almost surely, 2^{67881115985760} is an apocalyptic number.

67881115985760 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 67881115985760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168470715853440).

67881115985760 is an abundant number, since it is smaller than the sum of its proper divisors (269060315721120).

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

67881115985760 is a wasteful number, since it uses less digits than its factorization.

67881115985760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 203212800, while the sum is 72.

The spelling of 67881115985760 in words is "sixty-seven trillion, eight hundred eighty-one billion, one hundred fifteen million, nine hundred eighty-five thousand, seven hundred sixty".