10359281664 has 144 divisors (see below), whose sum is σ = 30333303000. Its totient is φ = 3405348864.

The previous prime is 10359281659. The next prime is 10359281683. The reversal of 10359281664 is 46618295301.

10359281664 is a `hidden beast` number, since 10 + 359 + 281 + 6 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×10359281664³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1341687 + ... + 1349385.

Almost surely, 2^10359281664 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 10359281664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15166651500).

10359281664 is an abundant number, since it is smaller than the sum of its proper divisors (19974021336).

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

10359281664 is an equidigital number, since it uses as much as digits as its factorization.

10359281664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7800 (or 7777 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 10359281664 in words is "ten billion, three hundred fifty-nine million, two hundred eighty-one thousand, six hundred sixty-four".