6415759680 has 224 divisors, whose sum is σ = 22305507840. Its totient is φ = 1549486080.

The previous prime is 6415759661. The next prime is 6415759681. The reversal of 6415759680 is 869575146.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6415759681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3240931 + ... + 3242909.

It is an arithmetic number, because the mean of its divisors is an integer number (99578160).

Almost surely, 2^6415759680 is an apocalyptic number.

6415759680 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 6415759680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11152753920).

6415759680 is an abundant number, since it is smaller than the sum of its proper divisors (15889748160).

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

6415759680 is a wasteful number, since it uses less digits than its factorization.

6415759680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2317 (or 2307 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 51.

The square root of 6415759680 is about 80098.4374379426. The cubic root of 6415759680 is about 1858.1582416537.

The spelling of 6415759680 in words is "six billion, four hundred fifteen million, seven hundred fifty-nine thousand, six hundred eighty".