10617067632 has 80 divisors (see below), whose sum is σ = 28429466112. Its totient is φ = 3411978240.

The previous prime is 10617067561. The next prime is 10617067639. The reversal of 10617067632 is 23676071601.

It is a super-2 number, since 2×10617067632² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10617067639) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116032 + ... + 186272.

Almost surely, 2^10617067632 is an apocalyptic number.

10617067632 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 10617067632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14214733056).

10617067632 is an abundant number, since it is smaller than the sum of its proper divisors (17812398480).

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

10617067632 is a wasteful number, since it uses less digits than its factorization.

10617067632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70366 (or 70360 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The spelling of 10617067632 in words is "ten billion, six hundred seventeen million, sixty-seven thousand, six hundred thirty-two".