6120295920 has 240 divisors, whose sum is σ = 21003831264. Its totient is φ = 1596672000.

The previous prime is 6120295901. The next prime is 6120295927. The reversal of 6120295920 is 295920216.

It is a happy number.

6120295920 is a `hidden beast` number, since 61 + 2 + 0 + 2 + 9 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 (6120295927) 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 47 ways as a sum of consecutive naturals, for example, 14537310 + ... + 14537730.

Almost surely, 2^6120295920 is an apocalyptic number.

6120295920 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 6120295920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10501915632).

6120295920 is an abundant number, since it is smaller than the sum of its proper divisors (14883535344).

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

6120295920 is a wasteful number, since it uses less digits than its factorization.

6120295920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 6120295920 is about 78232.3201752319. The cubic root of 6120295920 is about 1829.1843359514.

The spelling of 6120295920 in words is "six billion, one hundred twenty million, two hundred ninety-five thousand, nine hundred twenty".