84788466583504 has 320 divisors, whose sum is σ = 184827855974400. Its totient is φ = 37491425427456.

The previous prime is 84788466583439. The next prime is 84788466583517. The reversal of 84788466583504 is 40538566488748.

It is a Harshad number since it is a multiple of its sum of digits (76).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 89533755159 + ... + 89533756105.

It is an arithmetic number, because the mean of its divisors is an integer number (577587049920).

Almost surely, 2^{84788466583504} 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 84788466583504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92413927987200).

84788466583504 is an abundant number, since it is smaller than the sum of its proper divisors (100039389390896).

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

84788466583504 is a wasteful number, since it uses less digits than its factorization.

84788466583504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2082 (or 2076 counting only the distinct ones).

The product of its (nonzero) digits is 4954521600, while the sum is 76.

The spelling of 84788466583504 in words is "eighty-four trillion, seven hundred eighty-eight billion, four hundred sixty-six million, five hundred eighty-three thousand, five hundred four".