6440013216 has 576 divisors, whose sum is σ = 24656486400. Its totient is φ = 1605712896.

The previous prime is 6440013193. The next prime is 6440013241. The reversal of 6440013216 is 6123100446.

6440013216 is a `hidden beast` number, since 6 + 440 + 0 + 1 + 3 + 216 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 6440013216.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13444465 + ... + 13444943.

It is an arithmetic number, because the mean of its divisors is an integer number (42806400).

Almost surely, 2^6440013216 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 6440013216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12328243200).

6440013216 is an abundant number, since it is smaller than the sum of its proper divisors (18216473184).

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

6440013216 is a wasteful number, since it uses less digits than its factorization.

6440013216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 6440013216 is about 80249.6929339920. The cubic root of 6440013216 is about 1860.4967663759.

The spelling of 6440013216 in words is "six billion, four hundred forty million, thirteen thousand, two hundred sixteen".