10174735968 has 192 divisors, whose sum is σ = 28516561920. Its totient is φ = 3171889152.

The previous prime is 10174735933. The next prime is 10174735969. The reversal of 10174735968 is 86953747101.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10174735968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10174735969) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9849180 + ... + 9850212.

It is an arithmetic number, because the mean of its divisors is an integer number (148523760).

Almost surely, 2^10174735968 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 10174735968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14258280960).

10174735968 is an abundant number, since it is smaller than the sum of its proper divisors (18341825952).

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

10174735968 is a wasteful number, since it uses less digits than its factorization.

10174735968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1189 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 51.

The spelling of 10174735968 in words is "ten billion, one hundred seventy-four million, seven hundred thirty-five thousand, nine hundred sixty-eight".