6515658240 has 320 divisors, whose sum is σ = 25639358976. Its totient is φ = 1374584832.

The previous prime is 6515658223. The next prime is 6515658251. The reversal of 6515658240 is 428565156.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 6515658192 and 6515658201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 694219 + ... + 703541.

Almost surely, 2^6515658240 is an apocalyptic number.

6515658240 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 6515658240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12819679488).

6515658240 is an abundant number, since it is smaller than the sum of its proper divisors (19123700736).

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

6515658240 is a wasteful number, since it uses less digits than its factorization.

6515658240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9369 (or 9353 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 42.

The square root of 6515658240 is about 80719.6273529555. The cubic root of 6515658240 is about 1867.7529550241.

The spelling of 6515658240 in words is "six billion, five hundred fifteen million, six hundred fifty-eight thousand, two hundred forty".