6005921040 has 160 divisors (see below), whose sum is σ = 23642415360. Its totient is φ = 1372778496.

The previous prime is 6005921017. The next prime is 6005921057. The reversal of 6005921040 is 401295006.

6005921040 is a `hidden beast` number, since 60 + 0 + 592 + 10 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 6005920995 and 6005921013.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 183489 + ... + 213728.

It is an arithmetic number, because the mean of its divisors is an integer number (147765096).

Almost surely, 2^6005921040 is an apocalyptic number.

6005921040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6005921040 is an abundant number, since it is smaller than the sum of its proper divisors (17636494320).

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

6005921040 is a wasteful number, since it uses less digits than its factorization.

6005921040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397246 (or 397234 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 6005921040 is about 77497.8776483589. The cubic root of 6005921040 is about 1817.7181320786.

The spelling of 6005921040 in words is "six billion, five million, nine hundred twenty-one thousand, forty".