6264513216 has 224 divisors, whose sum is σ = 20371897280. Its totient is φ = 1875197952.

The previous prime is 6264513193. The next prime is 6264513217. The reversal of 6264513216 is 6123154626.

6264513216 is a `hidden beast` number, since 6 + 2 + 645 + 1 + 3 + 2 + 1 + 6 = 666.

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 (6264513217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 827400 + ... + 834936.

It is an arithmetic number, because the mean of its divisors is an integer number (90945970).

Almost surely, 2^6264513216 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 6264513216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10185948640).

6264513216 is an abundant number, since it is smaller than the sum of its proper divisors (14107384064).

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

6264513216 is a wasteful number, since it uses less digits than its factorization.

6264513216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7608 (or 7592 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 6264513216 is about 79148.6779169431. The cubic root of 6264513216 is about 1843.4404376558.

The spelling of 6264513216 in words is "six billion, two hundred sixty-four million, five hundred thirteen thousand, two hundred sixteen".