6738639632 has 60 divisors (see below), whose sum is σ = 13747072140. Its totient is φ = 3198723840.

The previous prime is 6738639631. The next prime is 6738639641. The reversal of 6738639632 is 2369368376.

It can be written as a sum of positive squares in 2 ways, for example, as 5609410816 + 1129228816 = 74896^2 + 33604^2 .

It is a super-2 number, since 2×6738639632² = 90818528179922190848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is not an unprimeable number, because it can be changed into a prime (6738639631) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 810794 + ... + 819062.

It is an arithmetic number, because the mean of its divisors is an integer number (229117869).

Almost surely, 2^6738639632 is an apocalyptic number.

6738639632 is a gapful number since it is divisible by the number (62) 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 6738639632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6873536070).

6738639632 is an abundant number, since it is smaller than the sum of its proper divisors (7008432508).

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

6738639632 is a wasteful number, since it uses less digits than its factorization.

6738639632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8392 (or 8355 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 53.

The square root of 6738639632 is about 82089.2175136296. The cubic root of 6738639632 is about 1888.8207449116.

The spelling of 6738639632 in words is "six billion, seven hundred thirty-eight million, six hundred thirty-nine thousand, six hundred thirty-two".