681811930800 has 2160 divisors, whose sum is σ = 3273158004480. Its totient is φ = 129185280000.

The previous prime is 681811930783. The next prime is 681811930837. The reversal of 681811930800 is 8039118186.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 3809005111 + ... + 3809005289.

It is an arithmetic number, because the mean of its divisors is an integer number (1515350928).

Almost surely, 2^681811930800 is an apocalyptic number.

681811930800 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 681811930800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1636579002240).

681811930800 is an abundant number, since it is smaller than the sum of its proper divisors (2591346073680).

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

681811930800 is a wasteful number, since it uses less digits than its factorization.

681811930800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The spelling of 681811930800 in words is "six hundred eighty-one billion, eight hundred eleven million, nine hundred thirty thousand, eight hundred".