84565491056640 has 1728 divisors, whose sum is σ = 334168655708160. Its totient is φ = 20273902387200.

The previous prime is 84565491056603. The next prime is 84565491056671. The reversal of 84565491056640 is 4665019456548.

84565491056640 is a `hidden beast` number, since 8 + 4 + 5 + 6 + 54 + 9 + 10 + 566 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 271914762085 + ... + 271914762395.

It is an arithmetic number, because the mean of its divisors is an integer number (193384638720).

Almost surely, 2^{84565491056640} is an apocalyptic number.

84565491056640 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 84565491056640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167084327854080).

84565491056640 is an abundant number, since it is smaller than the sum of its proper divisors (249603164651520).

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

84565491056640 is a wasteful number, since it uses less digits than its factorization.

84565491056640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 124416000, while the sum is 63.

The spelling of 84565491056640 in words is "eighty-four trillion, five hundred sixty-five billion, four hundred ninety-one million, fifty-six thousand, six hundred forty".