6668157600 has 288 divisors, whose sum is σ = 25972712640. Its totient is φ = 1641323520.

The previous prime is 6668157593. The next prime is 6668157611. The reversal of 6668157600 is 67518666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 268927 + ... + 292673.

It is an arithmetic number, because the mean of its divisors is an integer number (90183030).

Almost surely, 2^6668157600 is an apocalyptic number.

6668157600 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 6668157600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12986356320).

6668157600 is an abundant number, since it is smaller than the sum of its proper divisors (19304555040).

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

6668157600 is a wasteful number, since it uses less digits than its factorization.

6668157600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23789 (or 23770 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 6668157600 is about 81658.7876471357. The cubic root of 6668157600 is about 1882.2123495026.

The spelling of 6668157600 in words is "six billion, six hundred sixty-eight million, one hundred fifty-seven thousand, six hundred".