6105944064 has 208 divisors, whose sum is σ = 17928460800. Its totient is φ = 1832878080.

The previous prime is 6105944029. The next prime is 6105944081. The reversal of 6105944064 is 4604495016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26898319 + ... + 26898545.

Almost surely, 2^6105944064 is an apocalyptic number.

6105944064 is a gapful number since it is divisible by the number (64) 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 6105944064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8964230400).

6105944064 is an abundant number, since it is smaller than the sum of its proper divisors (11822516736).

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

6105944064 is a wasteful number, since it uses less digits than its factorization.

6105944064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 6105944064 is about 78140.5404639615. The cubic root of 6105944064 is about 1827.7534281746.

The spelling of 6105944064 in words is "six billion, one hundred five million, nine hundred forty-four thousand, sixty-four".