78966794649600 has 2304 divisors, whose sum is σ = 335613291249600. Its totient is φ = 17642343628800.

The previous prime is 78966794649593. The next prime is 78966794649601. The reversal of 78966794649600 is 694649766987.

78966794649600 is a `hidden beast` number, since 7 + 8 + 9 + 6 + 67 + 9 + 464 + 96 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a self number, because there is not a number n which added to its sum of digits gives 78966794649600.

It is not an unprimeable number, because it can be changed into a prime (78966794649601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 127571558091 + ... + 127571558709.

Almost surely, 2^{78966794649600} 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 78966794649600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167806645624800).

78966794649600 is an abundant number, since it is smaller than the sum of its proper divisors (256646496600000).

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

78966794649600 is a wasteful number, since it uses less digits than its factorization.

78966794649600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 5925685248, while the sum is 81.

The spelling of 78966794649600 in words is "seventy-eight trillion, nine hundred sixty-six billion, seven hundred ninety-four million, six hundred forty-nine thousand, six hundred".