78530516064 has 1536 divisors, whose sum is σ = 333268992000. Its totient is φ = 17535191040.

The previous prime is 78530516063. The next prime is 78530516069. The reversal of 78530516064 is 46061503587.

78530516064 is a `hidden beast` number, since 7 + 8 + 5 + 30 + 5 + 1 + 606 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78530516063) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1331025667 + ... + 1331025725.

It is an arithmetic number, because the mean of its divisors is an integer number (216972000).

Almost surely, 2^78530516064 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 78530516064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166634496000).

78530516064 is an abundant number, since it is smaller than the sum of its proper divisors (254738475936).

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

78530516064 is a wasteful number, since it uses less digits than its factorization.

78530516064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 78530516064 in words is "seventy-eight billion, five hundred thirty million, five hundred sixteen thousand, sixty-four".