6241028505600 has 768 divisors, whose sum is σ = 23669102937600. Its totient is φ = 1421428654080.

The previous prime is 6241028505583. The next prime is 6241028505653. The reversal of 6241028505600 is 65058201426.

It is a tau number, because it is divible by the number of its divisors (768).

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, 7036108357 + ... + 7036109243.

It is an arithmetic number, because the mean of its divisors is an integer number (30819144450).

Almost surely, 2^{6241028505600} is an apocalyptic number.

6241028505600 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 6241028505600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11834551468800).

6241028505600 is an abundant number, since it is smaller than the sum of its proper divisors (17428074432000).

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

6241028505600 is an equidigital number, since it uses as much as digits as its factorization.

6241028505600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The spelling of 6241028505600 in words is "six trillion, two hundred forty-one billion, twenty-eight million, five hundred five thousand, six hundred".