6323601674880 has 1024 divisors, whose sum is σ = 25981180185600. Its totient is φ = 1441513635840.

The previous prime is 6323601674813. The next prime is 6323601674891. The reversal of 6323601674880 is 884761063236.

6323601674880 is a `hidden beast` number, since 6 + 3 + 2 + 360 + 167 + 48 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5300587564 + ... + 5300588756.

It is an arithmetic number, because the mean of its divisors is an integer number (25372246275).

Almost surely, 2^{6323601674880} is an apocalyptic number.

6323601674880 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 6323601674880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12990590092800).

6323601674880 is an abundant number, since it is smaller than the sum of its proper divisors (19657578510720).

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

6323601674880 is an equidigital number, since it uses as much as digits as its factorization.

6323601674880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1781 (or 1751 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 6323601674880 in words is "six trillion, three hundred twenty-three billion, six hundred one million, six hundred seventy-four thousand, eight hundred eighty".