10479186432 has 960 divisors, whose sum is σ = 40037437440. Its totient is φ = 2687385600.

The previous prime is 10479186383. The next prime is 10479186437. The reversal of 10479186432 is 23468197401.

10479186432 is a `hidden beast` number, since 10 + 47 + 91 + 86 + 432 = 666.

It is a super-2 number, since 2×10479186432² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10479186437) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 338038257 + ... + 338038287.

It is an arithmetic number, because the mean of its divisors is an integer number (41705664).

Almost surely, 2^10479186432 is an apocalyptic number.

10479186432 is a gapful number since it is divisible by the number (12) 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 10479186432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20018718720).

10479186432 is an abundant number, since it is smaller than the sum of its proper divisors (29558251008).

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

10479186432 is a wasteful number, since it uses less digits than its factorization.

10479186432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 10479186432 in words is "ten billion, four hundred seventy-nine million, one hundred eighty-six thousand, four hundred thirty-two".