6701384100 has 72 divisors (see below), whose sum is σ = 19497814560. Its totient is φ = 1777038080.

The previous prime is 6701384087. The next prime is 6701384141. The reversal of 6701384100 is 14831076.

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 23 ways as a sum of consecutive naturals, for example, 8697 + ... + 116096.

It is an arithmetic number, because the mean of its divisors is an integer number (270802980).

Almost surely, 2^6701384100 is an apocalyptic number.

6701384100 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 6701384100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9748907280).

6701384100 is an abundant number, since it is smaller than the sum of its proper divisors (12796430460).

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

6701384100 is a wasteful number, since it uses less digits than its factorization.

6701384100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124989 (or 124982 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 6701384100 is about 81861.9820185170. The cubic root of 6701384100 is about 1885.3334385179. Note that the first 3 decimals are identical.

The spelling of 6701384100 in words is "six billion, seven hundred one million, three hundred eighty-four thousand, one hundred".