6657158144 has 176 divisors, whose sum is σ = 16507008000. Its totient is φ = 2613067776.

The previous prime is 6657158093. The next prime is 6657158149. The reversal of 6657158144 is 4418517566.

It is not an unprimeable number, because it can be changed into a prime (6657158149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18543437 + ... + 18543795.

Almost surely, 2^6657158144 is an apocalyptic number.

6657158144 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6657158144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8253504000).

6657158144 is an abundant number, since it is smaller than the sum of its proper divisors (9849849856).

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

6657158144 is a wasteful number, since it uses less digits than its factorization.

6657158144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 580 counting only the distinct ones).

The product of its digits is 806400, while the sum is 47.

The square root of 6657158144 is about 81591.4097439185. The cubic root of 6657158144 is about 1881.1768457788.

The spelling of 6657158144 in words is "six billion, six hundred fifty-seven million, one hundred fifty-eight thousand, one hundred forty-four".