84289987476480 has 1408 divisors, whose sum is σ = 298973419683840. Its totient is φ = 20245999779840.

The previous prime is 84289987476473. The next prime is 84289987476509. The reversal of 84289987476480 is 8467478998248.

It is a junction number, because it is equal to n+sod(n) for n = 84289987476393 and 84289987476402.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 320494248829 + ... + 320494249091.

It is an arithmetic number, because the mean of its divisors is an integer number (212339076480).

Almost surely, 2^{84289987476480} is an apocalyptic number.

84289987476480 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 84289987476480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149486709841920).

84289987476480 is an abundant number, since it is smaller than the sum of its proper divisors (214683432207360).

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

84289987476480 is a wasteful number, since it uses less digits than its factorization.

84289987476480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 12485394432, while the sum is 84.

The spelling of 84289987476480 in words is "eighty-four trillion, two hundred eighty-nine billion, nine hundred eighty-seven million, four hundred seventy-six thousand, four hundred eighty".