832001556960 has 576 divisors, whose sum is σ = 3371149297152. Its totient is φ = 189823481856.

The previous prime is 832001556943. The next prime is 832001556977. The reversal of 832001556960 is 69655100238.

832001556960 is a `hidden beast` number, since 8 + 3 + 2 + 0 + 0 + 1 + 556 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (832001556943) and next prime (832001556977).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 166831587 + ... + 166836573.

It is an arithmetic number, because the mean of its divisors is an integer number (5852689752).

Almost surely, 2^832001556960 is an apocalyptic number.

832001556960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 832001556960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1685574648576).

832001556960 is an abundant number, since it is smaller than the sum of its proper divisors (2539147740192).

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

832001556960 is a wasteful number, since it uses less digits than its factorization.

832001556960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5637 (or 5617 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 832001556960 in words is "eight hundred thirty-two billion, one million, five hundred fifty-six thousand, nine hundred sixty".