6054767346240 has 672 divisors, whose sum is σ = 21510953493120. Its totient is φ = 1562532249600.

The previous prime is 6054767346157. The next prime is 6054767346259. The reversal of 6054767346240 is 426437674506.

6054767346240 is a `hidden beast` number, since 6 + 0 + 5 + 4 + 7 + 6 + 7 + 3 + 4 + 624 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3477751770 + ... + 3477753510.

It is an arithmetic number, because the mean of its divisors is an integer number (32010347460).

Almost surely, 2^{6054767346240} is an apocalyptic number.

6054767346240 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 6054767346240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10755476746560).

6054767346240 is an abundant number, since it is smaller than the sum of its proper divisors (15456186146880).

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

6054767346240 is a wasteful number, since it uses less digits than its factorization.

6054767346240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2131 (or 2118 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 54.

The spelling of 6054767346240 in words is "six trillion, fifty-four billion, seven hundred sixty-seven million, three hundred forty-six thousand, two hundred forty".