6657985152 has 576 divisors, whose sum is σ = 24676011360. Its totient is φ = 1706987520.

The previous prime is 6657985141. The next prime is 6657985211. The reversal of 6657985152 is 2515897566.

6657985152 is a `hidden beast` number, since 66 + 579 + 8 + 5 + 1 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×6657985152³ (a number of 30 digits) contains 333 as substring.

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 71 ways as a sum of consecutive naturals, for example, 31554327 + ... + 31554537.

Almost surely, 2^6657985152 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 6657985152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12338005680).

6657985152 is an abundant number, since it is smaller than the sum of its proper divisors (18018026208).

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

6657985152 is a wasteful number, since it uses less digits than its factorization.

6657985152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 279 counting only the distinct ones).

The product of its digits is 4536000, while the sum is 54.

The square root of 6657985152 is about 81596.4775710324. The cubic root of 6657985152 is about 1881.2547410733.

The spelling of 6657985152 in words is "six billion, six hundred fifty-seven million, nine hundred eighty-five thousand, one hundred fifty-two".