80084657064384 has 336 divisors, whose sum is σ = 275385434556960. Its totient is φ = 22754910044160.

The previous prime is 80084657064361. The next prime is 80084657064439. The reversal of 80084657064384 is 48346075648008.

80084657064384 is a `hidden beast` number, since 80 + 0 + 8 + 465 + 7 + 0 + 64 + 38 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 12712864 + ... + 17938400.

It is an arithmetic number, because the mean of its divisors is an integer number (819599507610).

Almost surely, 2^{80084657064384} is an apocalyptic number.

80084657064384 is a gapful number since it is divisible by the number (84) 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 80084657064384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137692717278480).

80084657064384 is an abundant number, since it is smaller than the sum of its proper divisors (195300777492576).

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

80084657064384 is a wasteful number, since it uses less digits than its factorization.

80084657064384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5225753 (or 5225730 counting only the distinct ones).

The product of its (nonzero) digits is 123863040, while the sum is 63.

The spelling of 80084657064384 in words is "eighty trillion, eighty-four billion, six hundred fifty-seven million, sixty-four thousand, three hundred eighty-four".