6045965820 has 144 divisors (see below), whose sum is σ = 19482109920. Its totient is φ = 1556545536.

The previous prime is 6045965803. The next prime is 6045965839. The reversal of 6045965820 is 285695406.

6045965820 is a `hidden beast` number, since 6 + 0 + 4 + 596 + 58 + 2 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 447484 + ... + 460796.

It is an arithmetic number, because the mean of its divisors is an integer number (135292430).

Almost surely, 2^6045965820 is an apocalyptic number.

6045965820 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 6045965820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9741054960).

6045965820 is an abundant number, since it is smaller than the sum of its proper divisors (13436144100).

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

6045965820 is a wasteful number, since it uses less digits than its factorization.

6045965820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13389 (or 13352 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 6045965820 is about 77755.8089148329. The cubic root of 6045965820 is about 1821.7490953872.

The spelling of 6045965820 in words is "six billion, forty-five million, nine hundred sixty-five thousand, eight hundred twenty".