6352873390080 has 1360 divisors, whose sum is σ = 26893806280704. Its totient is φ = 1403969863680.

The previous prime is 6352873390079. The next prime is 6352873390091. The reversal of 6352873390080 is 800933782536.

6352873390080 is a `hidden beast` number, since 6 + 3 + 528 + 7 + 3 + 39 + 0 + 0 + 80 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 6352873389999 and 6352873390026.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5759630809 + ... + 5759631911.

Almost surely, 2^{6352873390080} is an apocalyptic number.

6352873390080 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 6352873390080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13446903140352).

6352873390080 is an abundant number, since it is smaller than the sum of its proper divisors (20540932890624).

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

6352873390080 is an equidigital number, since it uses as much as digits as its factorization.

6352873390080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 6352873390080 in words is "six trillion, three hundred fifty-two billion, eight hundred seventy-three million, three hundred ninety thousand, eighty".