6495216000 has 512 divisors, whose sum is σ = 26518302720. Its totient is φ = 1369497600.

The previous prime is 6495215999. The next prime is 6495216001. The reversal of 6495216000 is 6125946.

It is an interprime number because it is at equal distance from previous prime (6495215999) and next prime (6495216001).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6495216001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4367257 + ... + 4368743.

It is an arithmetic number, because the mean of its divisors is an integer number (51793560).

Almost surely, 2^6495216000 is an apocalyptic number.

6495216000 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 6495216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13259151360).

6495216000 is an abundant number, since it is smaller than the sum of its proper divisors (20023086720).

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

6495216000 is a wasteful number, since it uses less digits than its factorization.

6495216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1539 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 6495216000 is about 80592.9029133459. The cubic root of 6495216000 is about 1865.7976113337.

The spelling of 6495216000 in words is "six billion, four hundred ninety-five million, two hundred sixteen thousand".