10479071736 has 176 divisors, whose sum is σ = 33693169200. Its totient is φ = 2993075712.

The previous prime is 10479071723. The next prime is 10479071747. The reversal of 10479071736 is 63717097401.

It is a happy number.

10479071736 is a `hidden beast` number, since 1 + 0 + 479 + 0 + 7 + 173 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10479071691 and 10479071700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 3305160 + ... + 3308328.

Almost surely, 2^10479071736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10479071736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16846584600).

10479071736 is an abundant number, since it is smaller than the sum of its proper divisors (23214097464).

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

10479071736 is an frugal number, since it uses more digits than its factorization.

10479071736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3212 (or 3181 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The spelling of 10479071736 in words is "ten billion, four hundred seventy-nine million, seventy-one thousand, seven hundred thirty-six".