6249945960 has 512 divisors, whose sum is σ = 23224320000. Its totient is φ = 1488015360.

The previous prime is 6249945959. The next prime is 6249945973. The reversal of 6249945960 is 695499426.

It is a happy number.

6249945960 is a `hidden beast` number, since 6 + 2 + 49 + 9 + 4 + 596 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 6249945897 and 6249945906.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 44963571 + ... + 44963709.

It is an arithmetic number, because the mean of its divisors is an integer number (45360000).

Almost surely, 2^6249945960 is an apocalyptic number.

6249945960 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 6249945960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11612160000).

6249945960 is an abundant number, since it is smaller than the sum of its proper divisors (16974374040).

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

6249945960 is a wasteful number, since it uses less digits than its factorization.

6249945960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The square root of 6249945960 is about 79056.5997245012. The cubic root of 6249945960 is about 1842.0104403699.

The spelling of 6249945960 in words is "six billion, two hundred forty-nine million, nine hundred forty-five thousand, nine hundred sixty".