80437573216 has 576 divisors, whose sum is σ = 229248423936. Its totient is φ = 26813952000.

The previous prime is 80437573213. The next prime is 80437573259. The reversal of 80437573216 is 61237573408.

80437573216 = 1173³ + 1174³ + ... + 1219³.

It is a happy number.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80437573213) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 796411566 + ... + 796411666.

It is an arithmetic number, because the mean of its divisors is an integer number (398000736).

Almost surely, 2^80437573216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80437573216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114624211968).

80437573216 is an abundant number, since it is smaller than the sum of its proper divisors (148810850720).

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

80437573216 is a wasteful number, since it uses less digits than its factorization.

80437573216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 46.

The spelling of 80437573216 in words is "eighty billion, four hundred thirty-seven million, five hundred seventy-three thousand, two hundred sixteen".