2016567648 has 72 divisors (see below), whose sum is σ = 5763886128. Its totient is φ = 668758272.

The previous prime is 2016567613. The next prime is 2016567649. The reversal of 2016567648 is 8467656102.

2016567648 is a `hidden beast` number, since 20 + 1 + 6 + 567 + 64 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2016567649) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38965 + ... + 74507.

It is an arithmetic number, because the mean of its divisors is an integer number (80053974).

Almost surely, 2^2016567648 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 2016567648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2881943064).

2016567648 is an abundant number, since it is smaller than the sum of its proper divisors (3747318480).

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

2016567648 is a wasteful number, since it uses less digits than its factorization.

2016567648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35756 (or 35745 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 2016567648 is about 44906.2094592719. The cubic root of 2016567648 is about 1263.3904754977.

The spelling of 2016567648 in words is "two billion, sixteen million, five hundred sixty-seven thousand, six hundred forty-eight".