6701349072 has 80 divisors (see below), whose sum is σ = 18910789632. Its totient is φ = 2028005760.

The previous prime is 6701349071. The next prime is 6701349107. The reversal of 6701349072 is 2709431076.

It is a super-3 number, since 3×6701349072³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 6701349072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6701349071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 407473 + ... + 423599.

Almost surely, 2^6701349072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6701349072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9455394816).

6701349072 is an abundant number, since it is smaller than the sum of its proper divisors (12209440560).

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

6701349072 is a wasteful number, since it uses less digits than its factorization.

6701349072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16936 (or 16930 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The square root of 6701349072 is about 81861.7680727701. The cubic root of 6701349072 is about 1885.3301536455.

The spelling of 6701349072 in words is "six billion, seven hundred one million, three hundred forty-nine thousand, seventy-two".