10712761712640 has 1800 divisors, whose sum is σ = 42784803269208. Its totient is φ = 2561629224960.

The previous prime is 10712761712629. The next prime is 10712761712669. The reversal of 10712761712640 is 4621716721701.

10712761712640 is a `hidden beast` number, since 1 + 0 + 7 + 1 + 2 + 7 + 617 + 1 + 26 + 4 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 9919778586624 + 792983126016 = 3149568^2 + 890496^2 .

It is a super-2 number, since 2×10712761712640² (a number of 27 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 119 ways as a sum of consecutive naturals, for example, 45977517964 + ... + 45977518196.

Almost surely, 2^{10712761712640} is an apocalyptic number.

10712761712640 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 10712761712640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21392401634604).

10712761712640 is an abundant number, since it is smaller than the sum of its proper divisors (32072041556568).

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

10712761712640 is an equidigital number, since it uses as much as digits as its factorization.

10712761712640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The spelling of 10712761712640 in words is "ten trillion, seven hundred twelve billion, seven hundred sixty-one million, seven hundred twelve thousand, six hundred forty".