1958915664 has 100 divisors (see below), whose sum is σ = 5865288660. Its totient is φ = 630443520.

The previous prime is 1958915639. The next prime is 1958915683. The reversal of 1958915664 is 4665198591.

1958915664 is a `hidden beast` number, since 1 + 9 + 589 + 1 + 56 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1239603264 + 719312400 = 35208^2 + 26820^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1958915664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11524 + ... + 63644.

Almost surely, 2^1958915664 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 1958915664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2932644330).

1958915664 is an abundant number, since it is smaller than the sum of its proper divisors (3906372996).

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

1958915664 is a wasteful number, since it uses less digits than its factorization.

1958915664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52170 (or 52155 counting only the distinct ones).

The product of its digits is 2332800, while the sum is 54.

The square root of 1958915664 is about 44259.6392213041. The cubic root of 1958915664 is about 1251.2341228051.

It can be divided in two parts, 19589 and 15664, that added together give a palindrome (35253).

The spelling of 1958915664 in words is "one billion, nine hundred fifty-eight million, nine hundred fifteen thousand, six hundred sixty-four".