10345723760 has 40 divisors (see below), whose sum is σ = 24287359200. Its totient is φ = 4098108672.

The previous prime is 10345723693. The next prime is 10345723781. The reversal of 10345723760 is 6732754301.

10345723760 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 (40).

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 7 ways as a sum of consecutive naturals, for example, 619535 + ... + 636014.

It is an arithmetic number, because the mean of its divisors is an integer number (607183980).

Almost surely, 2^10345723760 is an apocalyptic number.

10345723760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10345723760 is an abundant number, since it is smaller than the sum of its proper divisors (13941635440).

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

10345723760 is a wasteful number, since it uses less digits than its factorization.

10345723760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255665 (or 1255659 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 38.

The spelling of 10345723760 in words is "ten billion, three hundred forty-five million, seven hundred twenty-three thousand, seven hundred sixty".