6654016512 has 792 divisors, whose sum is σ = 24973039728. Its totient is φ = 1751777280.

The previous prime is 6654016511. The next prime is 6654016513. The reversal of 6654016512 is 2156104566.

6654016512 is a `hidden beast` number, since 66 + 540 + 1 + 6 + 51 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (6654016511) and next prime (6654016513).

It is a tau number, because it is divible by the number of its divisors (792).

It is a super-2 number, since 2×6654016512² = 88551871483937292288, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6654016511) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 391412728 + ... + 391412744.

Almost surely, 2^6654016512 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 6654016512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12486519864).

6654016512 is an abundant number, since it is smaller than the sum of its proper divisors (18319023216).

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

6654016512 is a wasteful number, since it uses less digits than its factorization.

6654016512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 6654016512 is about 81572.1552492025. The cubic root of 6654016512 is about 1880.8808788830.

The spelling of 6654016512 in words is "six billion, six hundred fifty-four million, sixteen thousand, five hundred twelve".