6233448960 has 400 divisors, whose sum is σ = 23314775616. Its totient is φ = 1588764672.

The previous prime is 6233448919. The next prime is 6233448961. The reversal of 6233448960 is 698443326.

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

It is not an unprimeable number, because it can be changed into a prime (6233448961) 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 39 ways as a sum of consecutive naturals, for example, 4768627 + ... + 4769933.

Almost surely, 2^6233448960 is an apocalyptic number.

6233448960 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 6233448960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11657387808).

6233448960 is an abundant number, since it is smaller than the sum of its proper divisors (17081326656).

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

6233448960 is a wasteful number, since it uses less digits than its factorization.

6233448960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The square root of 6233448960 is about 78952.1941430382. The cubic root of 6233448960 is about 1840.3883238373.

The spelling of 6233448960 in words is "six billion, two hundred thirty-three million, four hundred forty-eight thousand, nine hundred sixty".