84646546560 has 256 divisors, whose sum is σ = 309462451200. Its totient is φ = 21844131840.

The previous prime is 84646546549. The next prime is 84646546571. The reversal of 84646546560 is 6564564648.

84646546560 is a `hidden beast` number, since 8 + 4 + 6 + 46 + 546 + 56 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (84646546549) and next prime (84646546571).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 84646546497 and 84646546506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 456672 + ... + 614688.

It is an arithmetic number, because the mean of its divisors is an integer number (1208837700).

Almost surely, 2^84646546560 is an apocalyptic number.

84646546560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84646546560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154731225600).

84646546560 is an abundant number, since it is smaller than the sum of its proper divisors (224815904640).

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

84646546560 is a wasteful number, since it uses less digits than its factorization.

84646546560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158076 (or 158058 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

It can be divided in two parts, 846465 and 46560, that added together give a square (893025 = 945²).

The spelling of 84646546560 in words is "eighty-four billion, six hundred forty-six million, five hundred forty-six thousand, five hundred sixty".