6048832896 has 256 divisors, whose sum is σ = 18344332800. Its totient is φ = 1961625600.

The previous prime is 6048832877. The next prime is 6048832949. The reversal of 6048832896 is 6982388406.

6048832896 is a `hidden beast` number, since 604 + 8 + 8 + 3 + 28 + 9 + 6 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 34964266 + ... + 34964438.

It is an arithmetic number, because the mean of its divisors is an integer number (71657550).

Almost surely, 2^6048832896 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 6048832896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9172166400).

6048832896 is an abundant number, since it is smaller than the sum of its proper divisors (12295499904).

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

6048832896 is a wasteful number, since it uses less digits than its factorization.

6048832896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The square root of 6048832896 is about 77774.2431400010. The cubic root of 6048832896 is about 1822.0370156226.

The spelling of 6048832896 in words is "six billion, forty-eight million, eight hundred thirty-two thousand, eight hundred ninety-six".