681925870080 has 1440 divisors, whose sum is σ = 2960645935104. Its totient is φ = 142021361664.

The previous prime is 681925870063. The next prime is 681925870097. The reversal of 681925870080 is 80078529186.

It is an interprime number because it is at equal distance from previous prime (681925870063) and next prime (681925870097).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-3 number, since 3×681925870080³ (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 681925869999 and 681925870026.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3461552542 + ... + 3461552738.

Almost surely, 2^681925870080 is an apocalyptic number.

681925870080 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 681925870080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1480322967552).

681925870080 is an abundant number, since it is smaller than the sum of its proper divisors (2278720065024).

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

681925870080 is a wasteful number, since it uses less digits than its factorization.

681925870080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 681925870080 in words is "six hundred eighty-one billion, nine hundred twenty-five million, eight hundred seventy thousand, eighty".