78644580269580 has 1152 divisors, whose sum is σ = 278519670374400. Its totient is φ = 17820949708800.

The previous prime is 78644580269527. The next prime is 78644580269581. The reversal of 78644580269580 is 8596208544687.

78644580269580 is a `hidden beast` number, since 7 + 8 + 6 + 4 + 458 + 0 + 2 + 6 + 95 + 80 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 78644580269499 and 78644580269508.

It is not an unprimeable number, because it can be changed into a prime (78644580269581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 22285229256 + ... + 22285232784.

It is an arithmetic number, because the mean of its divisors is an integer number (241770547200).

Almost surely, 2^{78644580269580} 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 78644580269580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139259835187200).

78644580269580 is an abundant number, since it is smaller than the sum of its proper divisors (199875090104820).

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

78644580269580 is a wasteful number, since it uses less digits than its factorization.

78644580269580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3815 (or 3810 counting only the distinct ones).

The product of its (nonzero) digits is 928972800, while the sum is 72.

The spelling of 78644580269580 in words is "seventy-eight trillion, six hundred forty-four billion, five hundred eighty million, two hundred sixty-nine thousand, five hundred eighty".