6485952000 has 640 divisors, whose sum is σ = 24451435008. Its totient is φ = 1511424000.

The previous prime is 6485951987. The next prime is 6485952007. The reversal of 6485952000 is 2595846.

It is a tau number, because it is divible by the number of its divisors (640).

It is a self number, because there is not a number n which added to its sum of digits gives 6485952000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6485952007) 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, 78143959 + ... + 78144041.

Almost surely, 2^6485952000 is an apocalyptic number.

6485952000 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 6485952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12225717504).

6485952000 is an abundant number, since it is smaller than the sum of its proper divisors (17965483008).

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

6485952000 is a wasteful number, since it uses less digits than its factorization.

6485952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 6485952000 is about 80535.4083617883. The cubic root of 6485952000 is about 1864.9101390145.

The spelling of 6485952000 in words is "six billion, four hundred eighty-five million, nine hundred fifty-two thousand".