6032785920 has 960 divisors, whose sum is σ = 25391874816. Its totient is φ = 1211105280.

The previous prime is 6032785859. The next prime is 6032785949. The reversal of 6032785920 is 295872306.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 147141100 + ... + 147141140.

Almost surely, 2^6032785920 is an apocalyptic number.

6032785920 is a gapful number since it is divisible by the number (60) 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 6032785920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12695937408).

6032785920 is an abundant number, since it is smaller than the sum of its proper divisors (19359088896).

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

6032785920 is a wasteful number, since it uses less digits than its factorization.

6032785920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 6032785920 is about 77671.0108084091. The cubic root of 6032785920 is about 1820.4243586408.

The spelling of 6032785920 in words is "six billion, thirty-two million, seven hundred eighty-five thousand, nine hundred twenty".