84915620945568 has 1728 divisors, whose sum is σ = 308878629696000. Its totient is φ = 22847686557696.

The previous prime is 84915620945563. The next prime is 84915620945641. The reversal of 84915620945568 is 86554902651948.

84915620945568 is a `hidden beast` number, since 8 + 4 + 9 + 1 + 5 + 62 + 0 + 9 + 4 + 556 + 8 = 666.

84915620945568 is digitally balanced in base 4, 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 = 84915620945496 and 84915620945505.

It is not an unprimeable number, because it can be changed into a prime (84915620945563) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 77690412030 + ... + 77690413122.

It is an arithmetic number, because the mean of its divisors is an integer number (178749207000).

Almost surely, 2^{84915620945568} 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 84915620945568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154439314848000).

84915620945568 is an abundant number, since it is smaller than the sum of its proper divisors (223963008750432).

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

84915620945568 is a wasteful number, since it uses less digits than its factorization.

84915620945568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1329 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 746496000, while the sum is 72.

The spelling of 84915620945568 in words is "eighty-four trillion, nine hundred fifteen billion, six hundred twenty million, nine hundred forty-five thousand, five hundred sixty-eight".