6701329800 has 384 divisors, whose sum is σ = 25452835200. Its totient is φ = 1607040000.

The previous prime is 6701329787. The next prime is 6701329813. The reversal of 6701329800 is 89231076.

It is an interprime number because it is at equal distance from previous prime (6701329787) and next prime (6701329813).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5998842 + ... + 5999958.

It is an arithmetic number, because the mean of its divisors is an integer number (66283425).

Almost surely, 2^6701329800 is an apocalyptic number.

6701329800 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 6701329800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12726417600).

6701329800 is an abundant number, since it is smaller than the sum of its proper divisors (18751505400).

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

6701329800 is a wasteful number, since it uses less digits than its factorization.

6701329800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 6701329800 is about 81861.6503620590. The cubic root of 6701329800 is about 1885.3283463419.

The spelling of 6701329800 in words is "six billion, seven hundred one million, three hundred twenty-nine thousand, eight hundred".