5953259664 has 360 divisors, whose sum is σ = 19899172800. Its totient is φ = 1645539840.

The previous prime is 5953259659. The next prime is 5953259677. The reversal of 5953259664 is 4669523595.

It is a happy number.

5953259664 is a `hidden beast` number, since 59 + 532 + 59 + 6 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5953259664.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16582717 + ... + 16583075.

It is an arithmetic number, because the mean of its divisors is an integer number (55275480).

Almost surely, 2^5953259664 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 5953259664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9949586400).

5953259664 is an abundant number, since it is smaller than the sum of its proper divisors (13945913136).

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

5953259664 is a wasteful number, since it uses less digits than its factorization.

5953259664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 423 counting only the distinct ones).

The product of its digits is 8748000, while the sum is 54.

The square root of 5953259664 is about 77157.3694730452. The cubic root of 5953259664 is about 1812.3897967019.

The spelling of 5953259664 in words is "five billion, nine hundred fifty-three million, two hundred fifty-nine thousand, six hundred sixty-four".