6701638272 has 512 divisors, whose sum is σ = 22825152000. Its totient is φ = 1734082560.

The previous prime is 6701638261. The next prime is 6701638301. The reversal of 6701638272 is 2728361076.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 91803228 + ... + 91803300.

It is an arithmetic number, because the mean of its divisors is an integer number (44580375).

Almost surely, 2^6701638272 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 6701638272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11412576000).

6701638272 is an abundant number, since it is smaller than the sum of its proper divisors (16123513728).

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

6701638272 is a wasteful number, since it uses less digits than its factorization.

6701638272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 6701638272 is about 81863.5344460524. The cubic root of 6701638272 is about 1885.3572740373.

The spelling of 6701638272 in words is "six billion, seven hundred one million, six hundred thirty-eight thousand, two hundred seventy-two".