6031609920 has 504 divisors, whose sum is σ = 25043001984. Its totient is φ = 1377782784.

The previous prime is 6031609901. The next prime is 6031609967. The reversal of 6031609920 is 299061306.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 71 ways as a sum of consecutive naturals, for example, 3809449 + ... + 3811031.

It is an arithmetic number, because the mean of its divisors is an integer number (49688496).

Almost surely, 2^6031609920 is an apocalyptic number.

6031609920 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 6031609920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12521500992).

6031609920 is an abundant number, since it is smaller than the sum of its proper divisors (19011392064).

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

6031609920 is a wasteful number, since it uses less digits than its factorization.

6031609920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1629 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 6031609920 is about 77663.4400474251. The cubic root of 6031609920 is about 1820.3060629260.

The spelling of 6031609920 in words is "six billion, thirty-one million, six hundred nine thousand, nine hundred twenty".