84766445568 has 1040 divisors, whose sum is σ = 325401563520. Its totient is φ = 21403533312.

The previous prime is 84766445567. The next prime is 84766445581. The reversal of 84766445568 is 86554466748.

It is a happy number.

84766445568 is a `hidden beast` number, since 8 + 4 + 7 + 6 + 64 + 4 + 5 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (154828800) is a multiple of the sum of its prime factors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84766445563) 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, 750145480 + ... + 750145592.

Almost surely, 2^84766445568 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 84766445568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162700781760).

84766445568 is an abundant number, since it is smaller than the sum of its proper divisors (240635117952).

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

84766445568 is a wasteful number, since it uses less digits than its factorization.

84766445568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 161 counting only the distinct ones).

The product of its digits is 154828800, while the sum is 63.

The spelling of 84766445568 in words is "eighty-four billion, seven hundred sixty-six million, four hundred forty-five thousand, five hundred sixty-eight".