6517241640 has 384 divisors, whose sum is σ = 26889580800. Its totient is φ = 1374796800.

The previous prime is 6517241639. The next prime is 6517241651. The reversal of 6517241640 is 461427156.

6517241640 is a `hidden beast` number, since 6 + 5 + 1 + 7 + 2 + 4 + 1 + 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 = 6517241595 and 6517241604.

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, 1275090 + ... + 1280190.

It is an arithmetic number, because the mean of its divisors is an integer number (70024950).

Almost surely, 2^6517241640 is an apocalyptic number.

6517241640 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 6517241640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13444790400).

6517241640 is an abundant number, since it is smaller than the sum of its proper divisors (20372339160).

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

6517241640 is a wasteful number, since it uses less digits than its factorization.

6517241640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5154 (or 5131 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 6517241640 is about 80729.4347806300. The cubic root of 6517241640 is about 1867.9042398413.

Adding to 6517241640 its reverse (461427156), we get a palindrome (6978668796).

The spelling of 6517241640 in words is "six billion, five hundred seventeen million, two hundred forty-one thousand, six hundred forty".