6721752351600 has 960 divisors, whose sum is σ = 28200600046080. Its totient is φ = 1499163033600.

The previous prime is 6721752351571. The next prime is 6721752351623. The reversal of 6721752351600 is 61532571276.

It is a happy number.

6721752351600 is a `hidden beast` number, since 6 + 7 + 2 + 1 + 7 + 5 + 2 + 35 + 1 + 600 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 474123712 + ... + 474137888.

It is an arithmetic number, because the mean of its divisors is an integer number (29375625048).

Almost surely, 2^{6721752351600} is an apocalyptic number.

6721752351600 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 6721752351600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14100300023040).

6721752351600 is an abundant number, since it is smaller than the sum of its proper divisors (21478847694480).

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

6721752351600 is a wasteful number, since it uses less digits than its factorization.

6721752351600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14535 (or 14518 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 6721752351600 in words is "six trillion, seven hundred twenty-one billion, seven hundred fifty-two million, three hundred fifty-one thousand, six hundred".