78364164096 has 225 divisors, whose sum is σ = 235085301451. Its totient is φ = 26121388032.

The previous prime is 78364164083. The next prime is 78364164101. The reversal of 78364164096 is 69046146387.

The square root of 78364164096 is 279936.

It is a perfect power (a square, a 7-th power, a 14-th power), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as (3!)¹⁴.

78364164096 is a `hidden beast` number, since 78 + 36 + 416 + 40 + 96 = 666.

It is a super-2 number, since 2×78364164096² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is a nialpdrome in base 6.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 26121388031 + 26121388032 + 26121388033.

Almost surely, 2^78364164096 is an apocalyptic number.

78364164096 is the 279936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78364164096

78364164096 is an abundant number, since it is smaller than the sum of its proper divisors (156721137355).

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

78364164096 is an frugal number, since it uses more digits than its factorization.

78364164096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 5 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 78364164096 in words is "seventy-eight billion, three hundred sixty-four million, one hundred sixty-four thousand, ninety-six".