6120679824 has 240 divisors, whose sum is σ = 20132461440. Its totient is φ = 1699799040.

The previous prime is 6120679729. The next prime is 6120679837. The reversal of 6120679824 is 4289760216.

It is a happy number.

6120679824 is a `hidden beast` number, since 612 + 0 + 6 + 7 + 9 + 8 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 6120679824.

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, 5768254 + ... + 5769314.

It is an arithmetic number, because the mean of its divisors is an integer number (83885256).

Almost surely, 2^6120679824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6120679824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10066230720).

6120679824 is an abundant number, since it is smaller than the sum of its proper divisors (14011781616).

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

6120679824 is a wasteful number, since it uses less digits than its factorization.

6120679824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1238 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 6120679824 is about 78234.7737518298. The cubic root of 6120679824 is about 1829.2225811882. Note that the first 3 decimals are identical.

The spelling of 6120679824 in words is "six billion, one hundred twenty million, six hundred seventy-nine thousand, eight hundred twenty-four".