10468846080 has 960 divisors, whose sum is σ = 47357861760. Its totient is φ = 2167603200.

The previous prime is 10468846061. The next prime is 10468846117. The reversal of 10468846080 is 8064886401.

10468846080 is a `hidden beast` number, since 104 + 6 + 8 + 8 + 460 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37255540 + ... + 37255820.

It is an arithmetic number, because the mean of its divisors is an integer number (49331106).

Almost surely, 2^10468846080 is an apocalyptic number.

10468846080 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 10468846080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23678930880).

10468846080 is an abundant number, since it is smaller than the sum of its proper divisors (36889015680).

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

10468846080 is a wasteful number, since it uses less digits than its factorization.

10468846080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 10468846080 in words is "ten billion, four hundred sixty-eight million, eight hundred forty-six thousand, eighty".