681342359870592 has 576 divisors, whose sum is σ = 2286577916663040. Its totient is φ = 194171052257280.

The previous prime is 681342359870567. The next prime is 681342359870603. The reversal of 681342359870592 is 295078953243186.

681342359870592 is a `hidden beast` number, since 6 + 8 + 1 + 3 + 4 + 23 + 5 + 9 + 8 + 7 + 0 + 592 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×681342359870592² (a number of 30 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 681342359870592.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 132376597363 + ... + 132376602509.

It is an arithmetic number, because the mean of its divisors is an integer number (3969753327540).

It is a 1-persistent number, because it is pandigital, but 2⋅681342359870592 = 1362684719741184 is not.

Almost surely, 2^{681342359870592} 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 681342359870592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143288958331520).

681342359870592 is an abundant number, since it is smaller than the sum of its proper divisors (1605235556792448).

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

681342359870592 is a wasteful number, since it uses less digits than its factorization.

681342359870592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10729 (or 10707 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 72.

The spelling of 681342359870592 in words is "six hundred eighty-one trillion, three hundred forty-two billion, three hundred fifty-nine million, eight hundred seventy thousand, five hundred ninety-two".