6074877481920 has 672 divisors, whose sum is σ = 22746128670720. Its totient is φ = 1479226613760.

The previous prime is 6074877481913. The next prime is 6074877481943. The reversal of 6074877481920 is 291847784706.

6074877481920 is a `hidden beast` number, since 6 + 0 + 7 + 487 + 74 + 81 + 9 + 2 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 1802097835 + ... + 1802101205.

It is an arithmetic number, because the mean of its divisors is an integer number (33848405760).

Almost surely, 2^{6074877481920} is an apocalyptic number.

6074877481920 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 6074877481920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11373064335360).

6074877481920 is an abundant number, since it is smaller than the sum of its proper divisors (16671251188800).

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

6074877481920 is a wasteful number, since it uses less digits than its factorization.

6074877481920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3913 (or 3900 counting only the distinct ones).

The product of its (nonzero) digits is 37933056, while the sum is 63.

The spelling of 6074877481920 in words is "six trillion, seventy-four billion, eight hundred seventy-seven million, four hundred eighty-one thousand, nine hundred twenty".