84364001280 has 768 divisors, whose sum is σ = 328622898240. Its totient is φ = 20639121408.

The previous prime is 84364001273. The next prime is 84364001327. The reversal of 84364001280 is 8210046348.

84364001280 is a `hidden beast` number, since 8 + 4 + 3 + 640 + 0 + 1 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 517570479 + ... + 517570641.

Almost surely, 2^84364001280 is an apocalyptic number.

84364001280 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 84364001280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164311449120).

84364001280 is an abundant number, since it is smaller than the sum of its proper divisors (244258896960).

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

84364001280 is an equidigital number, since it uses as much as digits as its factorization.

84364001280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 84364001280 in words is "eighty-four billion, three hundred sixty-four million, one thousand, two hundred eighty".