6073478820 has 576 divisors, whose sum is σ = 21992705280. Its totient is φ = 1397440512.

The previous prime is 6073478819. The next prime is 6073478843. The reversal of 6073478820 is 288743706.

It is a happy number.

6073478820 is a `hidden beast` number, since 607 + 34 + 7 + 8 + 8 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 83198304 + ... + 83198376.

It is an arithmetic number, because the mean of its divisors is an integer number (38181780).

Almost surely, 2^6073478820 is an apocalyptic number.

6073478820 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 6073478820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10996352640).

6073478820 is an abundant number, since it is smaller than the sum of its proper divisors (15919226460).

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

6073478820 is a wasteful number, since it uses less digits than its factorization.

6073478820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 6073478820 is about 77932.5273553989. The cubic root of 6073478820 is about 1824.5082876204.

The spelling of 6073478820 in words is "six billion, seventy-three million, four hundred seventy-eight thousand, eight hundred twenty".