84289268874720 has 384 divisors, whose sum is σ = 340990972729344. Its totient is φ = 17010887122944.

The previous prime is 84289268874653. The next prime is 84289268874721. The reversal of 84289268874720 is 2747886298248.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84289268874721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40945347 + ... + 42954626.

It is an arithmetic number, because the mean of its divisors is an integer number (887997324816).

Almost surely, 2^{84289268874720} is an apocalyptic number.

84289268874720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84289268874720 is an abundant number, since it is smaller than the sum of its proper divisors (256701703854624).

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

84289268874720 is a wasteful number, since it uses less digits than its factorization.

84289268874720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83900034 (or 83900026 counting only the distinct ones).

The product of its (nonzero) digits is 1387266048, while the sum is 75.

The spelling of 84289268874720 in words is "eighty-four trillion, two hundred eighty-nine billion, two hundred sixty-eight million, eight hundred seventy-four thousand, seven hundred twenty".