6054791040 has 512 divisors, whose sum is σ = 22560768000. Its totient is φ = 1532805120.

The previous prime is 6054791033. The next prime is 6054791059. The reversal of 6054791040 is 401974506.

6054791040 is a `hidden beast` number, since 6 + 0 + 547 + 9 + 104 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6054790986 and 6054791004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47675457 + ... + 47675583.

It is an arithmetic number, because the mean of its divisors is an integer number (44064000).

Almost surely, 2^6054791040 is an apocalyptic number.

6054791040 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 6054791040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11280384000).

6054791040 is an abundant number, since it is smaller than the sum of its proper divisors (16505976960).

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

6054791040 is a wasteful number, since it uses less digits than its factorization.

6054791040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 6054791040 is about 77812.5378072197. The cubic root of 6054791040 is about 1822.6350591708.

The spelling of 6054791040 in words is "six billion, fifty-four million, seven hundred ninety-one thousand, forty".