6273504000 has 576 divisors, whose sum is σ = 23761745280. Its totient is φ = 1629388800.

The previous prime is 6273503993. The next prime is 6273504011. The reversal of 6273504000 is 4053726.

It is a happy number.

6273504000 is a `hidden beast` number, since 627 + 35 + 0 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 45791932 + ... + 45792068.

It is an arithmetic number, because the mean of its divisors is an integer number (41253030).

Almost surely, 2^6273504000 is an apocalyptic number.

6273504000 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 6273504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11880872640).

6273504000 is an abundant number, since it is smaller than the sum of its proper divisors (17488241280).

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

6273504000 is a wasteful number, since it uses less digits than its factorization.

6273504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 6273504000 is about 79205.4543576388. The cubic root of 6273504000 is about 1844.3219135496.

Adding to 6273504000 its reverse (4053726), we get a palindrome (6277557726).

The spelling of 6273504000 in words is "six billion, two hundred seventy-three million, five hundred four thousand".