10741624164 has 60 divisors (see below), whose sum is σ = 28125078828. Its totient is φ = 3574886400.

The previous prime is 10741624057. The next prime is 10741624169. The reversal of 10741624164 is 46142614701.

It is a happy number.

10741624164 is a `hidden beast` number, since 10 + 7 + 4 + 1 + 624 + 16 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5039864064 + 5701760100 = 70992^2 + 75510^2 .

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 (10741624169) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 181824 + ... + 233544.

Almost surely, 2^10741624164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10741624164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14062539414).

10741624164 is an abundant number, since it is smaller than the sum of its proper divisors (17383454664).

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

10741624164 is a wasteful number, since it uses less digits than its factorization.

10741624164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52378 (or 52367 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 10741624164 in words is "ten billion, seven hundred forty-one million, six hundred twenty-four thousand, one hundred sixty-four".