78873028625664 has 720 divisors, whose sum is σ = 296518840907520. Its totient is φ = 20294299975680.

The previous prime is 78873028625663. The next prime is 78873028625683. The reversal of 78873028625664 is 46652682037887.

78873028625664 is a `hidden beast` number, since 7 + 8 + 8 + 7 + 30 + 28 + 6 + 2 + 566 + 4 = 666.

78873028625664 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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 = 78873028625592 and 78873028625601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78873028625663) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 76856277 + ... + 77875755.

Almost surely, 2^{78873028625664} 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 78873028625664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148259420453760).

78873028625664 is an abundant number, since it is smaller than the sum of its proper divisors (217645812281856).

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

78873028625664 is a wasteful number, since it uses less digits than its factorization.

78873028625664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1019568 (or 1019545 counting only the distinct ones).

The product of its (nonzero) digits is 1300561920, while the sum is 72.

The spelling of 78873028625664 in words is "seventy-eight trillion, eight hundred seventy-three billion, twenty-eight million, six hundred twenty-five thousand, six hundred sixty-four".