6263906880 has 448 divisors, whose sum is σ = 25070653440. Its totient is φ = 1287168000.

The previous prime is 6263906863. The next prime is 6263906893. The reversal of 6263906880 is 886093626.

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

It is a super-2 number, since 2×6263906880² = 78473058802622668800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7465501 + ... + 7466339.

It is an arithmetic number, because the mean of its divisors is an integer number (55961280).

Almost surely, 2^6263906880 is an apocalyptic number.

6263906880 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 6263906880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12535326720).

6263906880 is an abundant number, since it is smaller than the sum of its proper divisors (18806746560).

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

6263906880 is a wasteful number, since it uses less digits than its factorization.

6263906880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The square root of 6263906880 is about 79144.8474633693. The cubic root of 6263906880 is about 1843.3809608151.

The spelling of 6263906880 in words is "six billion, two hundred sixty-three million, nine hundred six thousand, eight hundred eighty".