10427079456 has 168 divisors, whose sum is σ = 31841778780. Its totient is φ = 3355623936.

The previous prime is 10427079437. The next prime is 10427079461. The reversal of 10427079456 is 65497072401.

10427079456 is a `hidden beast` number, since 104 + 27 + 0 + 79 + 456 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9936899856 + 490179600 = 99684^2 + 22140^2 .

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 27 ways as a sum of consecutive naturals, for example, 668806 + ... + 684218.

Almost surely, 2^10427079456 is an apocalyptic number.

10427079456 is a gapful number since it is divisible by the number (16) 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 10427079456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15920889390).

10427079456 is an abundant number, since it is smaller than the sum of its proper divisors (21414699324).

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

10427079456 is an equidigital number, since it uses as much as digits as its factorization.

10427079456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15470 (or 15447 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 10427079456 in words is "ten billion, four hundred twenty-seven million, seventy-nine thousand, four hundred fifty-six".