7821905616000 has 3072 divisors, whose sum is σ = 35111373373440. Its totient is φ = 1693052928000.

The previous prime is 7821905615983. The next prime is 7821905616011. The reversal of 7821905616000 is 6165091287.

7821905616000 is a `hidden beast` number, since 7 + 8 + 21 + 9 + 0 + 5 + 616 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×7821905616000² (a number of 27 digits) contains 22 as substring.

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 (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 61589807937 + ... + 61589808063.

It is an arithmetic number, because the mean of its divisors is an integer number (11429483520).

Almost surely, 2^{7821905616000} is an apocalyptic number.

7821905616000 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 7821905616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17555686686720).

7821905616000 is an abundant number, since it is smaller than the sum of its proper divisors (27289467757440).

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

7821905616000 is a wasteful number, since it uses less digits than its factorization.

7821905616000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 7821905616000 in words is "seven trillion, eight hundred twenty-one billion, nine hundred five million, six hundred sixteen thousand".