681020290496 has 448 divisors, whose sum is σ = 1866002181120. Its totient is φ = 238639841280.

The previous prime is 681020290493. The next prime is 681020290519. The reversal of 681020290496 is 694092020186.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 681020290496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (681020290493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 306626666 + ... + 306628886.

It is an arithmetic number, because the mean of its divisors is an integer number (4165183440).

Almost surely, 2^681020290496 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 681020290496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933001090560).

681020290496 is an abundant number, since it is smaller than the sum of its proper divisors (1184981890624).

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

681020290496 is a wasteful number, since it uses less digits than its factorization.

681020290496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2452 (or 2442 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 47.

The spelling of 681020290496 in words is "six hundred eighty-one billion, twenty million, two hundred ninety thousand, four hundred ninety-six".