6465000019500 has 576 divisors, whose sum is σ = 22553023933440. Its totient is φ = 1545919104000.

The previous prime is 6465000019469. The next prime is 6465000019501. The reversal of 6465000019500 is 59100005646.

6465000019500 is a `hidden beast` number, since 6 + 465 + 0 + 0 + 0 + 0 + 195 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6465000019501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4901439841 + ... + 4901441159.

It is an arithmetic number, because the mean of its divisors is an integer number (39154555440).

Almost surely, 2^{6465000019500} is an apocalyptic number.

6465000019500 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 6465000019500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11276511966720).

6465000019500 is an abundant number, since it is smaller than the sum of its proper divisors (16088023913940).

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

6465000019500 is a wasteful number, since it uses less digits than its factorization.

6465000019500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2631 (or 2616 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 6465000019500 in words is "six trillion, four hundred sixty-five billion, nineteen thousand, five hundred".