6506049312 has 288 divisors, whose sum is σ = 23028969600. Its totient is φ = 1700020224.

The previous prime is 6506049259. The next prime is 6506049313. The reversal of 6506049312 is 2139406056.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6506049313) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1107888 + ... + 1113744.

It is an arithmetic number, because the mean of its divisors is an integer number (79961700).

Almost surely, 2^6506049312 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 6506049312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11514484800).

6506049312 is an abundant number, since it is smaller than the sum of its proper divisors (16522920288).

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

6506049312 is a wasteful number, since it uses less digits than its factorization.

6506049312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5928 (or 5917 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 6506049312 is about 80660.0849987154. The cubic root of 6506049312 is about 1866.8343508094.

The spelling of 6506049312 in words is "six billion, five hundred six million, forty-nine thousand, three hundred twelve".