6249169920 has 792 divisors, whose sum is σ = 25605906624. Its totient is φ = 1294368768.

The previous prime is 6249169889. The next prime is 6249169921. The reversal of 6249169920 is 299619426.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 6249169920.

It is not an unprimeable number, because it can be changed into a prime (6249169921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 271703029 + ... + 271703051.

Almost surely, 2^6249169920 is an apocalyptic number.

6249169920 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 6249169920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12802953312).

6249169920 is an abundant number, since it is smaller than the sum of its proper divisors (19356736704).

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

6249169920 is a wasteful number, since it uses less digits than its factorization.

6249169920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 48.

The square root of 6249169920 is about 79051.6914430046. The cubic root of 6249169920 is about 1841.9341979533.

The spelling of 6249169920 in words is "six billion, two hundred forty-nine million, one hundred sixty-nine thousand, nine hundred twenty".