6272984256 has 448 divisors, whose sum is σ = 21629583360. Its totient is φ = 1557504000.

The previous prime is 6272984251. The next prime is 6272984257. The reversal of 6272984256 is 6524892726.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a junction number, because it is equal to n+sod(n) for n = 6272984199 and 6272984208.

It is not an unprimeable number, because it can be changed into a prime (6272984251) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47885311 + ... + 47885441.

It is an arithmetic number, because the mean of its divisors is an integer number (48280320).

Almost surely, 2^6272984256 is an apocalyptic number.

6272984256 is a gapful number since it is divisible by the number (66) 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 6272984256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10814791680).

6272984256 is an abundant number, since it is smaller than the sum of its proper divisors (15356599104).

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

6272984256 is a wasteful number, since it uses less digits than its factorization.

6272984256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 274 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 51.

The square root of 6272984256 is about 79202.1733035148. The cubic root of 6272984256 is about 1844.2709796684.

It can be divided in two parts, 6272 and 984256, that added together give a triangular number (990528 = T₁₄₀₇).

The spelling of 6272984256 in words is "six billion, two hundred seventy-two million, nine hundred eighty-four thousand, two hundred fifty-six".