7804946160000 has 3840 divisors, whose sum is σ = 35701067001600. Its totient is φ = 1672151040000.

The previous prime is 7804946159993. The next prime is 7804946160013. The reversal of 7804946160000 is 616494087.

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 polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 69070319944 + ... + 69070320056.

It is an arithmetic number, because the mean of its divisors is an integer number (9297152865).

Almost surely, 2^{7804946160000} 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 7804946160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17850533500800).

7804946160000 is an abundant number, since it is smaller than the sum of its proper divisors (27896120841600).

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

7804946160000 is a wasteful number, since it uses less digits than its factorization.

7804946160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 7804946160000 in words is "seven trillion, eight hundred four billion, nine hundred forty-six million, one hundred sixty thousand".