78564480000 has 880 divisors, whose sum is σ = 290069398080. Its totient is φ = 18808832000.

The previous prime is 78564479963. The next prime is 78564480047. The reversal of 78564480000 is 8446587.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 946559959 + ... + 946560041.

It is an arithmetic number, because the mean of its divisors is an integer number (329624316).

Almost surely, 2^78564480000 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 78564480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145034699040).

78564480000 is an abundant number, since it is smaller than the sum of its proper divisors (211504918080).

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

78564480000 is a wasteful number, since it uses less digits than its factorization.

78564480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The spelling of 78564480000 in words is "seventy-eight billion, five hundred sixty-four million, four hundred eighty thousand".