10609258464 has 288 divisors, whose sum is σ = 36275226624. Its totient is φ = 2877189120.

The previous prime is 10609258421. The next prime is 10609258483. The reversal of 10609258464 is 46485290601.

10609258464 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 9 + 2 + 584 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×10609258464² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3310687 + ... + 3313889.

It is an arithmetic number, because the mean of its divisors is an integer number (125955648).

Almost surely, 2^10609258464 is an apocalyptic number.

10609258464 is a gapful number since it is divisible by the number (14) 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 10609258464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18137613312).

10609258464 is an abundant number, since it is smaller than the sum of its proper divisors (25665968160).

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

10609258464 is a wasteful number, since it uses less digits than its factorization.

10609258464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3310 (or 3299 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 10609258464 in words is "ten billion, six hundred nine million, two hundred fifty-eight thousand, four hundred sixty-four".