10464827904 has 480 divisors, whose sum is σ = 34471008000. Its totient is φ = 3036413952.

The previous prime is 10464827869. The next prime is 10464827909. The reversal of 10464827904 is 40972846401.

It is a self number, because there is not a number n which added to its sum of digits gives 10464827904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10464827909) 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 47 ways as a sum of consecutive naturals, for example, 117582292 + ... + 117582380.

It is an arithmetic number, because the mean of its divisors is an integer number (71814600).

Almost surely, 2^10464827904 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 10464827904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17235504000).

10464827904 is an abundant number, since it is smaller than the sum of its proper divisors (24006180096).

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

10464827904 is a wasteful number, since it uses less digits than its factorization.

10464827904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 10464827904 in words is "ten billion, four hundred sixty-four million, eight hundred twenty-seven thousand, nine hundred four".