10974840968 has 256 divisors, whose sum is σ = 27772416000. Its totient is φ = 3948134400.

The previous prime is 10974840967. The next prime is 10974840983. The reversal of 10974840968 is 86904847901.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (10974840967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26833148 + ... + 26833556.

It is an arithmetic number, because the mean of its divisors is an integer number (108486000).

Almost surely, 2^10974840968 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 10974840968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13886208000).

10974840968 is an abundant number, since it is smaller than the sum of its proper divisors (16797575032).

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

10974840968 is a wasteful number, since it uses less digits than its factorization.

10974840968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 56.

The spelling of 10974840968 in words is "ten billion, nine hundred seventy-four million, eight hundred forty thousand, nine hundred sixty-eight".