79312441663224 has 1536 divisors, whose sum is σ = 293375555665920. Its totient is φ = 18762347520000.

The previous prime is 79312441663223. The next prime is 79312441663267. The reversal of 79312441663224 is 42236614421397.

79312441663224 is a `hidden beast` number, since 7 + 9 + 312 + 4 + 41 + 6 + 63 + 224 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79312441663223) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 23513915202 + ... + 23513918574.

It is an arithmetic number, because the mean of its divisors is an integer number (190999710720).

Almost surely, 2^{79312441663224} 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 79312441663224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146687777832960).

79312441663224 is an abundant number, since it is smaller than the sum of its proper divisors (214063114002696).

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

79312441663224 is a wasteful number, since it uses less digits than its factorization.

79312441663224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3593 (or 3586 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 54.

The spelling of 79312441663224 in words is "seventy-nine trillion, three hundred twelve billion, four hundred forty-one million, six hundred sixty-three thousand, two hundred twenty-four".