681393400258752 has 224 divisors, whose sum is σ = 2004900325675200. Its totient is φ = 226935068000256.

The previous prime is 681393400258721. The next prime is 681393400258757. The reversal of 681393400258752 is 257852004393186.

681393400258752 is a `hidden beast` number, since 6 + 8 + 1 + 3 + 9 + 3 + 40 + 0 + 2 + 587 + 5 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 681393400258752.

It is not an unprimeable number, because it can be changed into a prime (681393400258757) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10278478918 + ... + 10278545210.

It is a 1-persistent number, because it is pandigital, but 2⋅681393400258752 = 1362786800517504 is not.

Almost surely, 2^{681393400258752} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 681393400258752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1002450162837600).

681393400258752 is an abundant number, since it is smaller than the sum of its proper divisors (1323506925416448).

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

681393400258752 is a wasteful number, since it uses less digits than its factorization.

681393400258752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71360 (or 71344 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 681393400258752 in words is "six hundred eighty-one trillion, three hundred ninety-three billion, four hundred million, two hundred fifty-eight thousand, seven hundred fifty-two".