959644827648 has 720 divisors, whose sum is σ = 3277238385960. Its totient is φ = 277226717184.

The previous prime is 959644827629. The next prime is 959644827683. The reversal of 959644827648 is 846728446959.

959644827648 is a `hidden beast` number, since 9 + 596 + 4 + 4 + 8 + 27 + 6 + 4 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 923075149824 + 36569677824 = 960768^2 + 191232^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2346319668 + ... + 2346320076.

Almost surely, 2^959644827648 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 959644827648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1638619192980).

959644827648 is an abundant number, since it is smaller than the sum of its proper divisors (2317593558312).

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

959644827648 is an equidigital number, since it uses as much as digits as its factorization.

959644827648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 444 counting only the distinct ones).

The product of its digits is 836075520, while the sum is 72.

The spelling of 959644827648 in words is "nine hundred fifty-nine billion, six hundred forty-four million, eight hundred twenty-seven thousand, six hundred forty-eight".