6041904960 has 896 divisors, whose sum is σ = 25693323264. Its totient is φ = 1167851520.

The previous prime is 6041904949. The next prime is 6041905007. The reversal of 6041904960 is 694091406.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 62287632 + ... + 62287728.

It is an arithmetic number, because the mean of its divisors is an integer number (28675584).

Almost surely, 2^6041904960 is an apocalyptic number.

6041904960 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 6041904960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12846661632).

6041904960 is an abundant number, since it is smaller than the sum of its proper divisors (19651418304).

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

6041904960 is a wasteful number, since it uses less digits than its factorization.

6041904960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 6041904960 is about 77729.6916242436. The cubic root of 6041904960 is about 1821.3411360324.

The spelling of 6041904960 in words is "six billion, forty-one million, nine hundred four thousand, nine hundred sixty".