681095657088 has 1536 divisors, whose sum is σ = 2683603353600. Its totient is φ = 161917747200.

The previous prime is 681095657087. The next prime is 681095657129. The reversal of 681095657088 is 880756590186.

681095657088 is a `hidden beast` number, since 6 + 8 + 1 + 0 + 9 + 56 + 570 + 8 + 8 = 666.

681095657088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (681095657083) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7652760148 + ... + 7652760236.

It is an arithmetic number, because the mean of its divisors is an integer number (1747137600).

Almost surely, 2^681095657088 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 681095657088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1341801676800).

681095657088 is an abundant number, since it is smaller than the sum of its proper divisors (2002507696512).

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

681095657088 is a wasteful number, since it uses less digits than its factorization.

681095657088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 63.

The spelling of 681095657088 in words is "six hundred eighty-one billion, ninety-five million, six hundred fifty-seven thousand, eighty-eight".