6497824320 has 896 divisors, whose sum is σ = 27098426880. Its totient is φ = 1450967040.

The previous prime is 6497824297. The next prime is 6497824349. The reversal of 6497824320 is 234287946.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 78286999 + ... + 78287081.

It is an arithmetic number, because the mean of its divisors is an integer number (30243780).

Almost surely, 2^6497824320 is an apocalyptic number.

6497824320 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 6497824320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13549213440).

6497824320 is an abundant number, since it is smaller than the sum of its proper divisors (20600602560).

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

6497824320 is a wasteful number, since it uses less digits than its factorization.

6497824320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 6497824320 is about 80609.0833591352. The cubic root of 6497824320 is about 1866.0473308163.

It can be divided in two parts, 64978 and 24320, that added together give a palindrome (89298).

The spelling of 6497824320 in words is "six billion, four hundred ninety-seven million, eight hundred twenty-four thousand, three hundred twenty".