681652171200 has 1512 divisors, whose sum is σ = 3075085503360. Its totient is φ = 130662604800.

The previous prime is 681652171199. The next prime is 681652171219. The reversal of 681652171200 is 2171256186.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 437236021 + ... + 437237579.

Almost surely, 2^681652171200 is an apocalyptic number.

681652171200 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 681652171200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1537542751680).

681652171200 is an abundant number, since it is smaller than the sum of its proper divisors (2393433332160).

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

681652171200 is a wasteful number, since it uses less digits than its factorization.

681652171200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1635 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The spelling of 681652171200 in words is "six hundred eighty-one billion, six hundred fifty-two million, one hundred seventy-one thousand, two hundred".