681024195072 has 1120 divisors, whose sum is σ = 2366876635200. Its totient is φ = 193921744896.

The previous prime is 681024195037. The next prime is 681024195083. The reversal of 681024195072 is 270591420186.

681024195072 is a `hidden beast` number, since 68 + 102 + 419 + 5 + 0 + 72 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 7651957204 + ... + 7651957292.

It is an arithmetic number, because the mean of its divisors is an integer number (2113282710).

Almost surely, 2^681024195072 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 681024195072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1183438317600).

681024195072 is an abundant number, since it is smaller than the sum of its proper divisors (1685852440128).

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

681024195072 is an equidigital number, since it uses as much as digits as its factorization.

681024195072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

It can be divided in two parts, 681024 and 195072, that added together give a square (876096 = 936²).

The spelling of 681024195072 in words is "six hundred eighty-one billion, twenty-four million, one hundred ninety-five thousand, seventy-two".