6371132640 has 192 divisors, whose sum is σ = 20403835200. Its totient is φ = 1670856704.

The previous prime is 6371132623. The next prime is 6371132659. The reversal of 6371132640 is 462311736.

It is a super-3 number, since 3×6371132640³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12516706 + ... + 12517214.

It is an arithmetic number, because the mean of its divisors is an integer number (106269975).

Almost surely, 2^6371132640 is an apocalyptic number.

6371132640 is a gapful number since it is divisible by the number (60) 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 6371132640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10201917600).

6371132640 is an abundant number, since it is smaller than the sum of its proper divisors (14032702560).

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

6371132640 is a wasteful number, since it uses less digits than its factorization.

6371132640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 6371132640 is about 79819.3750915152. The cubic root of 6371132640 is about 1853.8398589060.

The spelling of 6371132640 in words is "six billion, three hundred seventy-one million, one hundred thirty-two thousand, six hundred forty".