78466769971200 has 4032 divisors, whose sum is σ = 335666140992000. Its totient is φ = 18036298874880.

The previous prime is 78466769971151. The next prime is 78466769971259. The reversal of 78466769971200 is 217996766487.

78466769971200 is a `hidden beast` number, since 7 + 8 + 466 + 7 + 6 + 99 + 71 + 2 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 881649100756 + ... + 881649100844.

It is an arithmetic number, because the mean of its divisors is an integer number (83250531000).

Almost surely, 2^{78466769971200} 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 78466769971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167833070496000).

78466769971200 is an abundant number, since it is smaller than the sum of its proper divisors (257199371020800).

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

78466769971200 is a wasteful number, since it uses less digits than its factorization.

78466769971200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 384072192, while the sum is 72.

The spelling of 78466769971200 in words is "seventy-eight trillion, four hundred sixty-six billion, seven hundred sixty-nine million, nine hundred seventy-one thousand, two hundred".