6517431940 has 96 divisors (see below), whose sum is σ = 14360822784. Its totient is φ = 2481684480.

The previous prime is 6517431931. The next prime is 6517431979. The reversal of 6517431940 is 491347156.

It is a junction number, because it is equal to n+sod(n) for n = 6517431893 and 6517431902.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18462804 + ... + 18463156.

It is an arithmetic number, because the mean of its divisors is an integer number (149591904).

Almost surely, 2^6517431940 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 6517431940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7180411392).

6517431940 is an abundant number, since it is smaller than the sum of its proper divisors (7843390844).

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

6517431940 is a wasteful number, since it uses less digits than its factorization.

6517431940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 6517431940 is about 80730.6134003700. The cubic root of 6517431940 is about 1867.9224202688.

The spelling of 6517431940 in words is "six billion, five hundred seventeen million, four hundred thirty-one thousand, nine hundred forty".