10479663360 has 360 divisors, whose sum is σ = 38135876856. Its totient is φ = 2747105280.

The previous prime is 10479663331. The next prime is 10479663377. The reversal of 10479663360 is 6336697401.

10479663360 is a `hidden beast` number, since 1 + 0 + 4 + 7 + 9 + 6 + 633 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 56070144 + 10423593216 = 7488^2 + 102096^2 .

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 an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 6323652 + ... + 6325308.

Almost surely, 2^10479663360 is an apocalyptic number.

10479663360 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 10479663360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19067938428).

10479663360 is an abundant number, since it is smaller than the sum of its proper divisors (27656213496).

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

10479663360 is an equidigital number, since it uses as much as digits as its factorization.

10479663360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1751 (or 1728 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 10479663360 in words is "ten billion, four hundred seventy-nine million, six hundred sixty-three thousand, three hundred sixty".