681067011240000 has 6720 divisors, whose sum is σ = 3303227612805120. Its totient is φ = 135914526720000.

The previous prime is 681067011239893. The next prime is 681067011240017. The reversal of 681067011240000 is 42110760186.

It is a happy number.

681067011240000 is a `hidden beast` number, since 6 + 81 + 0 + 67 + 0 + 112 + 400 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 2218459319847 + ... + 2218459320153.

It is an arithmetic number, because the mean of its divisors is an integer number (491551728096).

Almost surely, 2^{681067011240000} is an apocalyptic number.

681067011240000 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 681067011240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651613806402560).

681067011240000 is an abundant number, since it is smaller than the sum of its proper divisors (2622160601565120).

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

681067011240000 is a wasteful number, since it uses less digits than its factorization.

681067011240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 681067011240000 in words is "six hundred eighty-one trillion, sixty-seven billion, eleven million, two hundred forty thousand".