6054107808672 has 1728 divisors, whose sum is σ = 23892135321600. Its totient is φ = 1471903488000.

The previous prime is 6054107808647. The next prime is 6054107808701. The reversal of 6054107808672 is 2768087014506.

6054107808672 is a `hidden beast` number, since 6 + 0 + 5 + 410 + 7 + 80 + 86 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 12639055729 + ... + 12639056207.

It is an arithmetic number, because the mean of its divisors is an integer number (13826467200).

Almost surely, 2^{6054107808672} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6054107808672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11946067660800).

6054107808672 is an abundant number, since it is smaller than the sum of its proper divisors (17838027512928).

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

6054107808672 is a wasteful number, since it uses less digits than its factorization.

6054107808672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 6054107808672 in words is "six trillion, fifty-four billion, one hundred seven million, eight hundred eight thousand, six hundred seventy-two".