6048405936 has 240 divisors, whose sum is σ = 18016846848. Its totient is φ = 1891814400.

The previous prime is 6048405919. The next prime is 6048405949. The reversal of 6048405936 is 6395048406.

6048405936 is a `hidden beast` number, since 604 + 8 + 4 + 0 + 5 + 9 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6048405891 and 6048405900.

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, 19701495 + ... + 19701801.

Almost surely, 2^6048405936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6048405936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9008423424).

6048405936 is an abundant number, since it is smaller than the sum of its proper divisors (11968440912).

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

6048405936 is a wasteful number, since it uses less digits than its factorization.

6048405936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 6048405936 is about 77771.4982239638. The cubic root of 6048405936 is about 1821.9941448054.

The spelling of 6048405936 in words is "six billion, forty-eight million, four hundred five thousand, nine hundred thirty-six".