10367968464 has 160 divisors (see below), whose sum is σ = 34342563840. Its totient is φ = 2933428608.

The previous prime is 10367968463. The next prime is 10367968519. The reversal of 10367968464 is 46486976301.

10367968464 is a `hidden beast` number, since 103 + 6 + 79 + 6 + 8 + 464 = 666.

10367968464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 10367968464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10367968463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 294829 + ... + 328115.

It is an arithmetic number, because the mean of its divisors is an integer number (214641024).

Almost surely, 2^10367968464 is an apocalyptic number.

10367968464 is a gapful number since it is divisible by the number (14) 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 10367968464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17171281920).

10367968464 is an abundant number, since it is smaller than the sum of its proper divisors (23974595376).

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

10367968464 is a wasteful number, since it uses less digits than its factorization.

10367968464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33414 (or 33402 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 10367968464 in words is "ten billion, three hundred sixty-seven million, nine hundred sixty-eight thousand, four hundred sixty-four".