10741477968 has 240 divisors, whose sum is σ = 33669876240. Its totient is φ = 3173990400.

The previous prime is 10741477919. The next prime is 10741477969. The reversal of 10741477968 is 86977414701.

It is a happy number.

10741477968 is a `hidden beast` number, since 10 + 74 + 1 + 477 + 96 + 8 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 303177744 + 10438300224 = 17412^2 + 102168^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10741477969) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13082998 + ... + 13083818.

It is an arithmetic number, because the mean of its divisors is an integer number (140291151).

Almost surely, 2^10741477968 is an apocalyptic number.

10741477968 is a gapful number since it is divisible by the number (18) 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 10741477968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16834938120).

10741477968 is an abundant number, since it is smaller than the sum of its proper divisors (22928398272).

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

10741477968 is a wasteful number, since it uses less digits than its factorization.

10741477968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 10741477968 in words is "ten billion, seven hundred forty-one million, four hundred seventy-seven thousand, nine hundred sixty-eight".