78236419968 has 672 divisors, whose sum is σ = 276810819120. Its totient is φ = 21946982400.

The previous prime is 78236419957. The next prime is 78236420021. The reversal of 78236419968 is 86991463287.

78236419968 is a `hidden beast` number, since 7 + 82 + 364 + 199 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×78236419968² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (31352832) is a multiple of the sum of its prime divisors (324).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 324632328 + ... + 324632568.

Almost surely, 2^78236419968 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 78236419968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138405409560).

78236419968 is an abundant number, since it is smaller than the sum of its proper divisors (198574399152).

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

78236419968 is an equidigital number, since it uses as much as digits as its factorization.

78236419968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 324 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 63.

The spelling of 78236419968 in words is "seventy-eight billion, two hundred thirty-six million, four hundred nineteen thousand, nine hundred sixty-eight".