10646347536 has 160 divisors (see below), whose sum is σ = 33422860800. Its totient is φ = 3217864320.

The previous prime is 10646347531. The next prime is 10646347561. The reversal of 10646347536 is 63574364601.

10646347536 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 634 + 7 + 5 + 3 + 6 = 666.

It is a super-2 number, since 2×10646347536² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10646347491 and 10646347500.

It is not an unprimeable number, because it can be changed into a prime (10646347531) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1988415 + ... + 1993761.

It is an arithmetic number, because the mean of its divisors is an integer number (208892880).

Almost surely, 2^10646347536 is an apocalyptic number.

10646347536 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 10646347536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16711430400).

10646347536 is an abundant number, since it is smaller than the sum of its proper divisors (22776513264).

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

10646347536 is a wasteful number, since it uses less digits than its factorization.

10646347536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5794 (or 5782 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 10646347536 in words is "ten billion, six hundred forty-six million, three hundred forty-seven thousand, five hundred thirty-six".