10707645312 has 672 divisors, whose sum is σ = 39987798480. Its totient is φ = 2794881024.

The previous prime is 10707645307. The next prime is 10707645341. The reversal of 10707645312 is 21354670701.

It is a happy number.

10707645312 is a `hidden beast` number, since 1 + 0 + 7 + 0 + 7 + 645 + 3 + 1 + 2 = 666.

10707645312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×10707645312² (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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 110388048 + ... + 110388144.

Almost surely, 2^10707645312 is an apocalyptic number.

10707645312 is a gapful number since it is divisible by the number (12) 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 10707645312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19993899240).

10707645312 is an abundant number, since it is smaller than the sum of its proper divisors (29280153168).

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

10707645312 is an frugal number, since it uses more digits than its factorization.

10707645312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 10707645312 in words is "ten billion, seven hundred seven million, six hundred forty-five thousand, three hundred twelve".