79778637687168 has 448 divisors, whose sum is σ = 273464268047520. Its totient is φ = 22699271208960.

The previous prime is 79778637687149. The next prime is 79778637687239. The reversal of 79778637687168 is 86178673687797.

79778637687168 is a `hidden beast` number, since 7 + 9 + 7 + 78 + 6 + 376 + 8 + 7 + 168 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 157163946 + ... + 157670742.

Almost surely, 2^{79778637687168} 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 79778637687168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136732134023760).

79778637687168 is an abundant number, since it is smaller than the sum of its proper divisors (193685630360352).

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

79778637687168 is an equidigital number, since it uses as much as digits as its factorization.

79778637687168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507077 (or 507050 counting only the distinct ones).

The product of its digits is 50185433088, while the sum is 90.

The spelling of 79778637687168 in words is "seventy-nine trillion, seven hundred seventy-eight billion, six hundred thirty-seven million, six hundred eighty-seven thousand, one hundred sixty-eight".