78956504064 has 99 divisors (see below), whose sum is σ = 228063109027. Its totient is φ = 26309842944.

The previous prime is 78956504009. The next prime is 78956504069. The reversal of 78956504064 is 46040565987.

The square root of 78956504064 is 280992.

It is a perfect power (a square), and thus also a powerful number.

78956504064 is a `hidden beast` number, since 7 + 89 + 56 + 504 + 0 + 6 + 4 = 666.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 78956504064.

It is not an unprimeable number, because it can be changed into a prime (78956504069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 26973769 + ... + 26976695.

Almost surely, 2^78956504064 is an apocalyptic number.

78956504064 is the 280992-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78956504064

78956504064 is an abundant number, since it is smaller than the sum of its proper divisors (149106604963).

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

78956504064 is an frugal number, since it uses more digits than its factorization.

78956504064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5880 (or 2932 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 78956504064 in words is "seventy-eight billion, nine hundred fifty-six million, five hundred four thousand, sixty-four".