681058771871940 has 768 divisors, whose sum is σ = 2692685657088000. Its totient is φ = 138799696435200.

The previous prime is 681058771871939. The next prime is 681058771871969. The reversal of 681058771871940 is 49178177850186.

681058771871940 is a `hidden beast` number, since 6 + 8 + 10 + 587 + 7 + 18 + 7 + 19 + 4 + 0 = 666.

It is a super-2 number, since 2×681058771871940² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 884811927 + ... + 885581313.

It is an arithmetic number, because the mean of its divisors is an integer number (3506101116000).

Almost surely, 2^{681058771871940} is an apocalyptic number.

681058771871940 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 681058771871940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1346342828544000).

681058771871940 is an abundant number, since it is smaller than the sum of its proper divisors (2011626885216060).

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

681058771871940 is a wasteful number, since it uses less digits than its factorization.

681058771871940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769833 (or 769825 counting only the distinct ones).

The product of its (nonzero) digits is 189665280, while the sum is 72.

The spelling of 681058771871940 in words is "six hundred eighty-one trillion, fifty-eight billion, seven hundred seventy-one million, eight hundred seventy-one thousand, nine hundred forty".