78099185664 has 544 divisors, whose sum is σ = 256689446400. Its totient is φ = 23357030400.

The previous prime is 78099185653. The next prime is 78099185677. The reversal of 78099185664 is 46658199087.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 773259214 + ... + 773259314.

It is an arithmetic number, because the mean of its divisors is an integer number (471855600).

Almost surely, 2^78099185664 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 78099185664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128344723200).

78099185664 is an abundant number, since it is smaller than the sum of its proper divisors (178590260736).

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

78099185664 is a wasteful number, since it uses less digits than its factorization.

78099185664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 78099185664 in words is "seventy-eight billion, ninety-nine million, one hundred eighty-five thousand, six hundred sixty-four".