10687709340 has 576 divisors, whose sum is σ = 42066984960. Its totient is φ = 2132282880.

The previous prime is 10687709339. The next prime is 10687709353. The reversal of 10687709340 is 4390778601.

It is a super-2 number, since 2×10687709340² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 47082307 + ... + 47082533.

It is an arithmetic number, because the mean of its divisors is an integer number (73032960).

Almost surely, 2^10687709340 is an apocalyptic number.

10687709340 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 10687709340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21033492480).

10687709340 is an abundant number, since it is smaller than the sum of its proper divisors (31379275620).

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

10687709340 is a wasteful number, since it uses less digits than its factorization.

10687709340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

It can be divided in two parts, 10687 and 709340, that added together give a palindrome (720027).

The spelling of 10687709340 in words is "ten billion, six hundred eighty-seven million, seven hundred nine thousand, three hundred forty".