6042193920 has 624 divisors, whose sum is σ = 25099845120. Its totient is φ = 1374879744.

The previous prime is 6042193901. The next prime is 6042193957. The reversal of 6042193920 is 293912406.

6042193920 is a `hidden beast` number, since 60 + 421 + 93 + 92 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27094929 + ... + 27095151.

Almost surely, 2^6042193920 is an apocalyptic number.

6042193920 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 6042193920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12549922560).

6042193920 is an abundant number, since it is smaller than the sum of its proper divisors (19057651200).

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

6042193920 is a wasteful number, since it uses less digits than its factorization.

6042193920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 6042193920 is about 77731.5503511927. The cubic root of 6042193920 is about 1821.3701713752.

The spelling of 6042193920 in words is "six billion, forty-two million, one hundred ninety-three thousand, nine hundred twenty".