10345404672 has 216 divisors, whose sum is σ = 32504914400. Its totient is φ = 3244990464.

The previous prime is 10345404659. The next prime is 10345404673. The reversal of 10345404672 is 27640454301.

10345404672 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 540 + 46 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10345404673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1994979 + ... + 2000157.

Almost surely, 2^10345404672 is an apocalyptic number.

10345404672 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 10345404672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16252457200).

10345404672 is an abundant number, since it is smaller than the sum of its proper divisors (22159509728).

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

10345404672 is an equidigital number, since it uses as much as digits as its factorization.

10345404672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5238 (or 5201 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Adding to 10345404672 its reverse (27640454301), we get a palindrome (37985858973).

The spelling of 10345404672 in words is "ten billion, three hundred forty-five million, four hundred four thousand, six hundred seventy-two".