10120765734 has 72 divisors (see below), whose sum is σ = 22722215256. Its totient is φ = 3255595200.

The previous prime is 10120765691. The next prime is 10120765747. The reversal of 10120765734 is 43756702101.

It is a happy number.

10120765734 is a `hidden beast` number, since 1 + 0 + 12 + 0 + 76 + 573 + 4 = 666.

10120765734 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 35 ways as a sum of consecutive naturals, for example, 9011697 + ... + 9012819.

It is an arithmetic number, because the mean of its divisors is an integer number (315586323).

Almost surely, 2^10120765734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10120765734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11361107628).

10120765734 is an abundant number, since it is smaller than the sum of its proper divisors (12601449522).

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

10120765734 is a wasteful number, since it uses less digits than its factorization.

10120765734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1714 (or 1680 counting only the distinct ones).

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

The spelling of 10120765734 in words is "ten billion, one hundred twenty million, seven hundred sixty-five thousand, seven hundred thirty-four".