84490560000 has 1600 divisors, whose sum is σ = 392706293760. Its totient is φ = 17418240000.

The previous prime is 84490559917. The next prime is 84490560059. The reversal of 84490560000 is 6509448.

84490560000 is a `hidden beast` number, since 8 + 4 + 4 + 90 + 560 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1600).

It is a super-2 number, since 2×84490560000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 665279937 + ... + 665280063.

Almost surely, 2^84490560000 is an apocalyptic number.

84490560000 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 84490560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196353146880).

84490560000 is an abundant number, since it is smaller than the sum of its proper divisors (308215733760).

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

84490560000 is a wasteful number, since it uses less digits than its factorization.

84490560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 84490560000 in words is "eighty-four billion, four hundred ninety million, five hundred sixty thousand".