6371090640 has 480 divisors, whose sum is σ = 23918469120. Its totient is φ = 1571000832.

The previous prime is 6371090639. The next prime is 6371090651. The reversal of 6371090640 is 460901736.

6371090640 is a `hidden beast` number, since 6 + 3 + 7 + 1 + 0 + 9 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6371090595 and 6371090604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17359737 + ... + 17360103.

It is an arithmetic number, because the mean of its divisors is an integer number (49830144).

Almost surely, 2^6371090640 is an apocalyptic number.

6371090640 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 6371090640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11959234560).

6371090640 is an abundant number, since it is smaller than the sum of its proper divisors (17547378480).

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

6371090640 is a wasteful number, since it uses less digits than its factorization.

6371090640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 6371090640 is about 79819.1119970650. Note that the first 3 decimals coincide. The cubic root of 6371090640 is about 1853.8357852480.

The spelling of 6371090640 in words is "six billion, three hundred seventy-one million, ninety thousand, six hundred forty".