6657550004160 has 1344 divisors, whose sum is σ = 28874940756480. Its totient is φ = 1439005409280.

The previous prime is 6657550004153. The next prime is 6657550004197. The reversal of 6657550004160 is 614000557566.

6657550004160 is a `hidden beast` number, since 6 + 6 + 57 + 550 + 0 + 0 + 41 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 276269232 + ... + 276293328.

It is an arithmetic number, because the mean of its divisors is an integer number (21484330920).

Almost surely, 2^{6657550004160} is an apocalyptic number.

6657550004160 is a gapful number since it is divisible by the number (60) 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 6657550004160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14437470378240).

6657550004160 is an abundant number, since it is smaller than the sum of its proper divisors (22217390752320).

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

6657550004160 is a wasteful number, since it uses less digits than its factorization.

6657550004160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24176 (or 24154 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 6657550004160 in words is "six trillion, six hundred fifty-seven billion, five hundred fifty million, four thousand, one hundred sixty".