6273424080 has 840 divisors, whose sum is σ = 27687561216. Its totient is φ = 1293304320.

The previous prime is 6273424061. The next prime is 6273424081. The reversal of 6273424080 is 804243726.

6273424080 is a `hidden beast` number, since 627 + 3 + 4 + 24 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6273424081) by changing a digit.

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 167 ways as a sum of consecutive naturals, for example, 49396977 + ... + 49397103.

Almost surely, 2^6273424080 is an apocalyptic number.

6273424080 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 6273424080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13843780608).

6273424080 is an abundant number, since it is smaller than the sum of its proper divisors (21414137136).

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

6273424080 is a wasteful number, since it uses less digits than its factorization.

6273424080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 6273424080 is about 79204.9498453222. The cubic root of 6273424080 is about 1844.3140817311.

The spelling of 6273424080 in words is "six billion, two hundred seventy-three million, four hundred twenty-four thousand, eighty".