6042057840 has 640 divisors, whose sum is σ = 26098329600. Its totient is φ = 1250795520.

The previous prime is 6042057803. The next prime is 6042057859. The reversal of 6042057840 is 487502406.

6042057840 is a `hidden beast` number, since 6 + 0 + 42 + 0 + 578 + 40 = 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 = 6042057795 and 6042057804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11596780 + ... + 11597300.

It is an arithmetic number, because the mean of its divisors is an integer number (40778640).

Almost surely, 2^6042057840 is an apocalyptic number.

6042057840 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 6042057840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13049164800).

6042057840 is an abundant number, since it is smaller than the sum of its proper divisors (20056271760).

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

6042057840 is a wasteful number, since it uses less digits than its factorization.

6042057840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 6042057840 is about 77730.6750260153. The cubic root of 6042057840 is about 1821.3564978698.

The spelling of 6042057840 in words is "six billion, forty-two million, fifty-seven thousand, eight hundred forty".