6505872120 has 384 divisors, whose sum is σ = 24585612480. Its totient is φ = 1474560000.

The previous prime is 6505872091. The next prime is 6505872127. The reversal of 6505872120 is 212785056.

It is a happy number.

6505872120 is a `hidden beast` number, since 6 + 50 + 587 + 2 + 1 + 20 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6505872127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16223920 + ... + 16224320.

Almost surely, 2^6505872120 is an apocalyptic number.

6505872120 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 6505872120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12292806240).

6505872120 is an abundant number, since it is smaller than the sum of its proper divisors (18079740360).

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

6505872120 is a wasteful number, since it uses less digits than its factorization.

6505872120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 6505872120 is about 80658.9866040976. The cubic root of 6505872120 is about 1866.8174029352.

The spelling of 6505872120 in words is "six billion, five hundred five million, eight hundred seventy-two thousand, one hundred twenty".