1959041664 has 384 divisors, whose sum is σ = 6348888000. Its totient is φ = 577290240.

The previous prime is 1959041659. The next prime is 1959041671. The reversal of 1959041664 is 4661409591.

It is a happy number.

1959041664 is a `hidden beast` number, since 1 + 95 + 90 + 416 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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, 33204067 + ... + 33204125.

Almost surely, 2^1959041664 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 1959041664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3174444000).

1959041664 is an abundant number, since it is smaller than the sum of its proper divisors (4389846336).

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

1959041664 is a wasteful number, since it uses less digits than its factorization.

1959041664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 1959041664 is about 44261.0626171582. The cubic root of 1959041664 is about 1251.2609492313.

The spelling of 1959041664 in words is "one billion, nine hundred fifty-nine million, forty-one thousand, six hundred sixty-four".