10384965360 has 360 divisors, whose sum is σ = 43813966560. Its totient is φ = 2157788160.

The previous prime is 10384965301. The next prime is 10384965401. The reversal of 10384965360 is 6356948301.

10384965360 is a `hidden beast` number, since 103 + 8 + 4 + 9 + 6 + 536 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 601326 + ... + 618354.

Almost surely, 2^10384965360 is an apocalyptic number.

10384965360 is a gapful number since it is divisible by the number (10) 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 10384965360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21906983280).

10384965360 is an abundant number, since it is smaller than the sum of its proper divisors (33429001200).

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

10384965360 is a wasteful number, since it uses less digits than its factorization.

10384965360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17077 (or 17057 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 10384965360 in words is "ten billion, three hundred eighty-four million, nine hundred sixty-five thousand, three hundred sixty".