6064773120 has 864 divisors, whose sum is σ = 26217172800. Its totient is φ = 1288175616.

The previous prime is 6064773097. The next prime is 6064773131. The reversal of 6064773120 is 213774606.

6064773120 is a `hidden beast` number, since 6 + 0 + 647 + 7 + 3 + 1 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 76769241 + ... + 76769319.

It is an arithmetic number, because the mean of its divisors is an integer number (30343950).

Almost surely, 2^6064773120 is an apocalyptic number.

6064773120 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 6064773120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13108586400).

6064773120 is an abundant number, since it is smaller than the sum of its proper divisors (20152399680).

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

6064773120 is a wasteful number, since it uses less digits than its factorization.

6064773120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 6064773120 is about 77876.6532408783. The cubic root of 6064773120 is about 1823.6361231662.

The spelling of 6064773120 in words is "six billion, sixty-four million, seven hundred seventy-three thousand, one hundred twenty".