6248780800 has 264 divisors, whose sum is σ = 16904944800. Its totient is φ = 2281144320.

The previous prime is 6248780777. The next prime is 6248780807. The reversal of 6248780800 is 80878426.

It is a super-3 number, since 3×6248780800³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6248780807) 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 23 ways as a sum of consecutive naturals, for example, 14105379 + ... + 14105821.

Almost surely, 2^6248780800 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 6248780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8452472400).

6248780800 is an abundant number, since it is smaller than the sum of its proper divisors (10656164000).

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

6248780800 is a wasteful number, since it uses less digits than its factorization.

6248780800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 43.

The square root of 6248780800 is about 79049.2302302812. The cubic root of 6248780800 is about 1841.8959662990.

The spelling of 6248780800 in words is "six billion, two hundred forty-eight million, seven hundred eighty thousand, eight hundred".