7009421680800 has 3456 divisors, whose sum is σ = 34854409175040. Its totient is φ = 1324781568000.

The previous prime is 7009421680753. The next prime is 7009421680813. The reversal of 7009421680800 is 80861249007.

7009421680800 is a `hidden beast` number, since 70 + 0 + 9 + 421 + 6 + 80 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 575 ways as a sum of consecutive naturals, for example, 9641570037 + ... + 9641570763.

It is an arithmetic number, because the mean of its divisors is an integer number (10085187840).

Almost surely, 2^{7009421680800} is an apocalyptic number.

7009421680800 is a gapful number since it is divisible by the number (70) 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 7009421680800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17427204587520).

7009421680800 is an abundant number, since it is smaller than the sum of its proper divisors (27844987494240).

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

7009421680800 is a wasteful number, since it uses less digits than its factorization.

7009421680800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 7009421680800 in words is "seven trillion, nine billion, four hundred twenty-one million, six hundred eighty thousand, eight hundred".