6249079872 has 336 divisors, whose sum is σ = 21095817600. Its totient is φ = 1731870720.

The previous prime is 6249079807. The next prime is 6249079901. The reversal of 6249079872 is 2789709426.

6249079872 is a `hidden beast` number, since 6 + 2 + 490 + 79 + 87 + 2 = 666.

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

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, 25929672 + ... + 25929912.

Almost surely, 2^6249079872 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 6249079872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10547908800).

6249079872 is an abundant number, since it is smaller than the sum of its proper divisors (14846737728).

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

6249079872 is a wasteful number, since it uses less digits than its factorization.

6249079872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 6249079872 is about 79051.1218895722. The cubic root of 6249079872 is about 1841.9253507363.

The spelling of 6249079872 in words is "six billion, two hundred forty-nine million, seventy-nine thousand, eight hundred seventy-two".