7945566289920 has 1920 divisors, whose sum is σ = 34426814400000. Its totient is φ = 1731308027904.

The previous prime is 7945566289883. The next prime is 7945566289937. The reversal of 7945566289920 is 299826655497.

7945566289920 is a `hidden beast` number, since 7 + 9 + 4 + 556 + 62 + 8 + 9 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 100576788441 + ... + 100576788519.

It is an arithmetic number, because the mean of its divisors is an integer number (17930632500).

Almost surely, 2^{7945566289920} is an apocalyptic number.

7945566289920 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 7945566289920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17213407200000).

7945566289920 is an abundant number, since it is smaller than the sum of its proper divisors (26481248110080).

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

7945566289920 is an frugal number, since it uses more digits than its factorization.

7945566289920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 587865600, while the sum is 72.

The spelling of 7945566289920 in words is "seven trillion, nine hundred forty-five billion, five hundred sixty-six million, two hundred eighty-nine thousand, nine hundred twenty".