6465680760 has 256 divisors, whose sum is σ = 24342819840. Its totient is φ = 1334661120.

The previous prime is 6465680747. The next prime is 6465680777. The reversal of 6465680760 is 670865646.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1448452 + ... + 1452908.

It is an arithmetic number, because the mean of its divisors is an integer number (95089140).

Almost surely, 2^6465680760 is an apocalyptic number.

6465680760 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 6465680760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12171409920).

6465680760 is an abundant number, since it is smaller than the sum of its proper divisors (17877139080).

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

6465680760 is a wasteful number, since it uses less digits than its factorization.

6465680760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4646 (or 4642 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The square root of 6465680760 is about 80409.4569065107. The cubic root of 6465680760 is about 1862.9652436534.

The spelling of 6465680760 in words is "six billion, four hundred sixty-five million, six hundred eighty thousand, seven hundred sixty".