6230794752000 has 3120 divisors, whose sum is σ = 28973298511872. Its totient is φ = 1304277811200.

The previous prime is 6230794751981. The next prime is 6230794752059. The reversal of 6230794752000 is 2574970326.

6230794752000 is a `hidden beast` number, since 6 + 2 + 30 + 7 + 94 + 7 + 520 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3120).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 49061375937 + ... + 49061376063.

Almost surely, 2^{6230794752000} is an apocalyptic number.

6230794752000 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 6230794752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14486649255936).

6230794752000 is an abundant number, since it is smaller than the sum of its proper divisors (22742503759872).

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

6230794752000 is a wasteful number, since it uses less digits than its factorization.

6230794752000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 6230794752000 in words is "six trillion, two hundred thirty billion, seven hundred ninety-four million, seven hundred fifty-two thousand".