84910284720 has 480 divisors, whose sum is σ = 307093969728. Its totient is φ = 21785739264.

The previous prime is 84910284691. The next prime is 84910284731. The reversal of 84910284720 is 2748201948.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 69769552 + ... + 69770768.

Almost surely, 2^84910284720 is an apocalyptic number.

84910284720 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 84910284720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153546984864).

84910284720 is an abundant number, since it is smaller than the sum of its proper divisors (222183685008).

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

84910284720 is a wasteful number, since it uses less digits than its factorization.

84910284720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 84910284720 in words is "eighty-four billion, nine hundred ten million, two hundred eighty-four thousand, seven hundred twenty".