6654101664 has 192 divisors, whose sum is σ = 21225867264. Its totient is φ = 1783981056.

The previous prime is 6654101659. The next prime is 6654101689. The reversal of 6654101664 is 4661014566.

It is a happy number.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 815107 + ... + 823229.

It is an arithmetic number, because the mean of its divisors is an integer number (110551392).

Almost surely, 2^6654101664 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 6654101664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10612933632).

6654101664 is an abundant number, since it is smaller than the sum of its proper divisors (14571765600).

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

6654101664 is a wasteful number, since it uses less digits than its factorization.

6654101664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8219 (or 8211 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 6654101664 is about 81572.6771903436. The cubic root of 6654101664 is about 1880.8889021115. Note that the first 3 decimals are identical.

The spelling of 6654101664 in words is "six billion, six hundred fifty-four million, one hundred one thousand, six hundred sixty-four".