6273408000 has 528 divisors, whose sum is σ = 22830960672. Its totient is φ = 1523712000.

The previous prime is 6273407993. The next prime is 6273408013. The reversal of 6273408000 is 8043726.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 202367985 + ... + 202368015.

Almost surely, 2^6273408000 is an apocalyptic number.

6273408000 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 6273408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11415480336).

6273408000 is an abundant number, since it is smaller than the sum of its proper divisors (16557552672).

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

6273408000 is a wasteful number, since it uses less digits than its factorization.

6273408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 6273408000 is about 79204.8483364497. The cubic root of 6273408000 is about 1844.3125059518.

The spelling of 6273408000 in words is "six billion, two hundred seventy-three million, four hundred eight thousand".