6499725120 has 336 divisors, whose sum is σ = 26498629248. Its totient is φ = 1485527040.

The previous prime is 6499725109. The next prime is 6499725161. The reversal of 6499725120 is 215279946.

6499725120 is a `hidden beast` number, since 6 + 49 + 97 + 2 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 538350 + ... + 550290.

It is an arithmetic number, because the mean of its divisors is an integer number (78864968).

Almost surely, 2^6499725120 is an apocalyptic number.

6499725120 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 6499725120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13249314624).

6499725120 is an abundant number, since it is smaller than the sum of its proper divisors (19998904128).

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

6499725120 is a wasteful number, since it uses less digits than its factorization.

6499725120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11980 (or 11958 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 6499725120 is about 80620.8727315700. The cubic root of 6499725120 is about 1866.2292705335.

The spelling of 6499725120 in words is "six billion, four hundred ninety-nine million, seven hundred twenty-five thousand, one hundred twenty".