10681712640 has 216 divisors, whose sum is σ = 37050243048. Its totient is φ = 2846883840.

The previous prime is 10681712611. The next prime is 10681712677. The reversal of 10681712640 is 4621718601.

It is a happy number.

10681712640 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 1 + 7 + 1 + 2 + 640 = 666.

It is a super-2 number, since 2×10681712640² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10681712595 and 10681712604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5897335 + ... + 5899145.

It is an arithmetic number, because the mean of its divisors is an integer number (171528903).

Almost surely, 2^10681712640 is an apocalyptic number.

10681712640 is a gapful number since it is divisible by the number (10) 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 10681712640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18525121524).

10681712640 is an abundant number, since it is smaller than the sum of its proper divisors (26368530408).

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

10681712640 is an frugal number, since it uses more digits than its factorization.

10681712640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1856 (or 1821 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 10681712640 in words is "ten billion, six hundred eighty-one million, seven hundred twelve thousand, six hundred forty".