10476442368 has 288 divisors, whose sum is σ = 35575411200. Its totient is φ = 2979016704.

The previous prime is 10476442349. The next prime is 10476442409. The reversal of 10476442368 is 86324467401.

10476442368 is a `hidden beast` number, since 104 + 7 + 64 + 423 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 31 ways as a sum of consecutive naturals, for example, 14176143 + ... + 14176881.

Almost surely, 2^10476442368 is an apocalyptic number.

10476442368 is a gapful number since it is divisible by the number (18) 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 10476442368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17787705600).

10476442368 is an abundant number, since it is smaller than the sum of its proper divisors (25098968832).

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

10476442368 is an equidigital number, since it uses as much as digits as its factorization.

10476442368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 10476442368 in words is "ten billion, four hundred seventy-six million, four hundred forty-two thousand, three hundred sixty-eight".