6249505080 has 576 divisors, whose sum is σ = 24934262400. Its totient is φ = 1245404160.

The previous prime is 6249505069. The next prime is 6249505103. The reversal of 6249505080 is 805059426.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18880515 + ... + 18880845.

It is an arithmetic number, because the mean of its divisors is an integer number (43288650).

Almost surely, 2^6249505080 is an apocalyptic number.

6249505080 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 6249505080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12467131200).

6249505080 is an abundant number, since it is smaller than the sum of its proper divisors (18684757320).

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

6249505080 is a wasteful number, since it uses less digits than its factorization.

6249505080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 6249505080 is about 79053.8112933210. The cubic root of 6249505080 is about 1841.9671266802.

The spelling of 6249505080 in words is "six billion, two hundred forty-nine million, five hundred five thousand, eighty".