6075778534020 has 288 divisors, whose sum is σ = 20903431610880. Its totient is φ = 1416096691200.

The previous prime is 6075778534003. The next prime is 6075778534031. The reversal of 6075778534020 is 204358775706.

It is a happy number.

6075778534020 is a `hidden beast` number, since 6 + 0 + 7 + 577 + 8 + 5 + 3 + 40 + 20 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84482517 + ... + 84554403.

It is an arithmetic number, because the mean of its divisors is an integer number (72581359760).

Almost surely, 2^{6075778534020} is an apocalyptic number.

6075778534020 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 6075778534020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10451715805440).

6075778534020 is an abundant number, since it is smaller than the sum of its proper divisors (14827653076860).

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

6075778534020 is a wasteful number, since it uses less digits than its factorization.

6075778534020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73835 (or 73830 counting only the distinct ones).

The product of its (nonzero) digits is 9878400, while the sum is 54.

The spelling of 6075778534020 in words is "six trillion, seventy-five billion, seven hundred seventy-eight million, five hundred thirty-four thousand, twenty".