6421590648 has 192 divisors, whose sum is σ = 19569513600. Its totient is φ = 1885213440.

The previous prime is 6421590647. The next prime is 6421590667. The reversal of 6421590648 is 8460951246.

It is a super-3 number, since 3×6421590648³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6421590641) 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, 12278115 + ... + 12278637.

It is an arithmetic number, because the mean of its divisors is an integer number (101924550).

Almost surely, 2^6421590648 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 6421590648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9784756800).

6421590648 is an abundant number, since it is smaller than the sum of its proper divisors (13147922952).

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

6421590648 is a wasteful number, since it uses less digits than its factorization.

6421590648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 6421590648 is about 80134.8279339265. The cubic root of 6421590648 is about 1858.7210007043.

The spelling of 6421590648 in words is "six billion, four hundred twenty-one million, five hundred ninety thousand, six hundred forty-eight".