79273821293568 has 1584 divisors, whose sum is σ = 274732560086400. Its totient is φ = 21771406540800.

The previous prime is 79273821293543. The next prime is 79273821293627. The reversal of 79273821293568 is 86539212837297.

79273821293568 is a `hidden beast` number, since 7 + 9 + 2 + 7 + 38 + 2 + 1 + 29 + 3 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 79273821293496 and 79273821293505.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 209165755203 + ... + 209165755581.

Almost surely, 2^{79273821293568} 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 79273821293568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137366280043200).

79273821293568 is an abundant number, since it is smaller than the sum of its proper divisors (195458738792832).

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

79273821293568 is a wasteful number, since it uses less digits than its factorization.

79273821293568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 558 counting only the distinct ones).

The product of its digits is 548674560, while the sum is 72.

The spelling of 79273821293568 in words is "seventy-nine trillion, two hundred seventy-three billion, eight hundred twenty-one million, two hundred ninety-three thousand, five hundred sixty-eight".