6701671200 has 360 divisors, whose sum is σ = 25469963568. Its totient is φ = 1530493440.

The previous prime is 6701671177. The next prime is 6701671247. The reversal of 6701671200 is 21761076.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5761819 + ... + 5762981.

Almost surely, 2^6701671200 is an apocalyptic number.

6701671200 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 6701671200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12734981784).

6701671200 is an abundant number, since it is smaller than the sum of its proper divisors (18768292368).

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

6701671200 is a wasteful number, since it uses less digits than its factorization.

6701671200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1214 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 6701671200 is about 81863.7355609918. The cubic root of 6701671200 is about 1885.3603618864.

The spelling of 6701671200 in words is "six billion, seven hundred one million, six hundred seventy-one thousand, two hundred".