6263930880 has 380 divisors, whose sum is σ = 22837941720. Its totient is φ = 1642070016.

The previous prime is 6263930819. The next prime is 6263930899. The reversal of 6263930880 is 880393626.

6263930880 is a `hidden beast` number, since 6 + 2 + 639 + 3 + 0 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 106168291 + ... + 106168349.

Almost surely, 2^6263930880 is an apocalyptic number.

6263930880 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 6263930880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11418970860).

6263930880 is an abundant number, since it is smaller than the sum of its proper divisors (16574010840).

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

6263930880 is an frugal number, since it uses more digits than its factorization.

6263930880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 6263930880 is about 79144.9990839598. Note that the first 3 decimals coincide. The cubic root of 6263930880 is about 1843.3833151012.

The spelling of 6263930880 in words is "six billion, two hundred sixty-three million, nine hundred thirty thousand, eight hundred eighty".