7894463938560 has 960 divisors, whose sum is σ = 30091753692000. Its totient is φ = 1981355655168.

The previous prime is 7894463938549. The next prime is 7894463938609. The reversal of 7894463938560 is 658393644987.

7894463938560 is a `hidden beast` number, since 7 + 89 + 4 + 463 + 9 + 3 + 85 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a nialpdrome in base 12.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 464380231672 + ... + 464380231688.

Almost surely, 2^{7894463938560} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7894463938560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15045876846000).

7894463938560 is an abundant number, since it is smaller than the sum of its proper divisors (22197289753440).

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

7894463938560 is an frugal number, since it uses more digits than its factorization.

7894463938560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 940584960, while the sum is 72.

The spelling of 7894463938560 in words is "seven trillion, eight hundred ninety-four billion, four hundred sixty-three million, nine hundred thirty-eight thousand, five hundred sixty".