6448613688 has 192 divisors, whose sum is σ = 19787846400. Its totient is φ = 1944360000.

The previous prime is 6448613687. The next prime is 6448613693. The reversal of 6448613688 is 8863168446.

It is a super-2 number, since 2×6448613688² = 83169236994121922688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6448613687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6559645 + ... + 6560627.

It is an arithmetic number, because the mean of its divisors is an integer number (103061700).

Almost surely, 2^6448613688 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 6448613688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9893923200).

6448613688 is an abundant number, since it is smaller than the sum of its proper divisors (13339232712).

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

6448613688 is a wasteful number, since it uses less digits than its factorization.

6448613688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1271 (or 1250 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The square root of 6448613688 is about 80303.2607557128. The cubic root of 6448613688 is about 1861.3246131545.

The spelling of 6448613688 in words is "six billion, four hundred forty-eight million, six hundred thirteen thousand, six hundred eighty-eight".