6701438016 has 448 divisors, whose sum is σ = 25534924800. Its totient is φ = 1673644032.

The previous prime is 6701437907. The next prime is 6701438017. The reversal of 6701438016 is 6108341076.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is not an unprimeable number, because it can be changed into a prime (6701438017) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2986591 + ... + 2988833.

It is an arithmetic number, because the mean of its divisors is an integer number (56997600).

Almost surely, 2^6701438016 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 6701438016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12767462400).

6701438016 is an abundant number, since it is smaller than the sum of its proper divisors (18833486784).

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

6701438016 is a wasteful number, since it uses less digits than its factorization.

6701438016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2303 (or 2287 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 6701438016 is about 81862.3113282297. The cubic root of 6701438016 is about 1885.3384946557.

The spelling of 6701438016 in words is "six billion, seven hundred one million, four hundred thirty-eight thousand, sixteen".