10609361664 has 288 divisors, whose sum is σ = 32708578560. Its totient is φ = 3019161600.

The previous prime is 10609361657. The next prime is 10609361671. The reversal of 10609361664 is 46616390601.

It is an interprime number because it is at equal distance from previous prime (10609361657) and next prime (10609361671).

It is a super-2 number, since 2×10609361664² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25200174 + ... + 25200594.

Almost surely, 2^10609361664 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 10609361664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16354289280).

10609361664 is an abundant number, since it is smaller than the sum of its proper divisors (22099216896).

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

10609361664 is a wasteful number, since it uses less digits than its factorization.

10609361664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

It can be divided in two parts, 10609 and 361664, that added together give a palindrome (372273).

The spelling of 10609361664 in words is "ten billion, six hundred nine million, three hundred sixty-one thousand, six hundred sixty-four".