681676369920 has 3328 divisors, whose sum is σ = 3381873868800. Its totient is φ = 126127964160.

The previous prime is 681676369879. The next prime is 681676369921. The reversal of 681676369920 is 29963676186.

It is a tau number, because it is divible by the number of its divisors (3328).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (681676369921) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 21989560305 + ... + 21989560335.

Almost surely, 2^681676369920 is an apocalyptic number.

681676369920 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 681676369920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1690936934400).

681676369920 is an abundant number, since it is smaller than the sum of its proper divisors (2700197498880).

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

681676369920 is a wasteful number, since it uses less digits than its factorization.

681676369920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 681676369920 in words is "six hundred eighty-one billion, six hundred seventy-six million, three hundred sixty-nine thousand, nine hundred twenty".