6054344059680 has 576 divisors, whose sum is σ = 24446367848448. Its totient is φ = 1335212605440.

The previous prime is 6054344059633. The next prime is 6054344059727. The reversal of 6054344059680 is 869504434506.

6054344059680 is a `hidden beast` number, since 6 + 0 + 5 + 4 + 3 + 4 + 40 + 596 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6054344059633) and next prime (6054344059727).

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, 105277014 + ... + 105334506.

It is an arithmetic number, because the mean of its divisors is an integer number (42441610848).

Almost surely, 2^{6054344059680} is an apocalyptic number.

6054344059680 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 6054344059680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12223183924224).

6054344059680 is an abundant number, since it is smaller than the sum of its proper divisors (18392023788768).

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

6054344059680 is a wasteful number, since it uses less digits than its factorization.

6054344059680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57889 (or 57878 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 6054344059680 in words is "six trillion, fifty-four billion, three hundred forty-four million, fifty-nine thousand, six hundred eighty".