846018276480 has 640 divisors, whose sum is σ = 3267818492400. Its totient is φ = 207346728960.

The previous prime is 846018276461. The next prime is 846018276487. The reversal of 846018276480 is 84672810648.

846018276480 is a `hidden beast` number, since 8 + 4 + 601 + 8 + 27 + 6 + 4 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 579291476544 + 266726799936 = 761112^2 + 516456^2 .

It is a tau number, because it is divible by the number of its divisors (640).

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

It is not an unprimeable number, because it can be changed into a prime (846018276487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 162412116 + ... + 162417324.

Almost surely, 2^846018276480 is an apocalyptic number.

846018276480 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 846018276480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1633909246200).

846018276480 is an abundant number, since it is smaller than the sum of its proper divisors (2421800215920).

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

846018276480 is a wasteful number, since it uses less digits than its factorization.

846018276480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5494 (or 5473 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 846018276480 in words is "eight hundred forty-six billion, eighteen million, two hundred seventy-six thousand, four hundred eighty".