6045874560 has 512 divisors, whose sum is σ = 24746342400. Its totient is φ = 1378713600.

The previous prime is 6045874559. The next prime is 6045874561. The reversal of 6045874560 is 654785406.

6045874560 is a `hidden beast` number, since 6 + 0 + 4 + 5 + 87 + 4 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (6045874559) and next prime (6045874561).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6045874561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3230425 + ... + 3232295.

It is an arithmetic number, because the mean of its divisors is an integer number (48332700).

Almost surely, 2^6045874560 is an apocalyptic number.

6045874560 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 6045874560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12373171200).

6045874560 is an abundant number, since it is smaller than the sum of its proper divisors (18700467840).

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

6045874560 is a wasteful number, since it uses less digits than its factorization.

6045874560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1927 (or 1909 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 6045874560 is about 77755.2220754336. Note that the first 3 decimals coincide. The cubic root of 6045874560 is about 1821.7399292940.

The spelling of 6045874560 in words is "six billion, forty-five million, eight hundred seventy-four thousand, five hundred sixty".