80234032032 has 384 divisors, whose sum is σ = 296719718400. Its totient is φ = 20485785600.

The previous prime is 80234032001. The next prime is 80234032049. The reversal of 80234032032 is 23023043208.

80234032032 is a `hidden beast` number, since 80 + 234 + 0 + 320 + 32 = 666.

It is a super-2 number, since 2×80234032032² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 80234031987 and 80234032005.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3914932 + ... + 3935372.

It is an arithmetic number, because the mean of its divisors is an integer number (772707600).

Almost surely, 2^80234032032 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 80234032032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148359859200).

80234032032 is an abundant number, since it is smaller than the sum of its proper divisors (216485686368).

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

80234032032 is a wasteful number, since it uses less digits than its factorization.

80234032032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20537 (or 20523 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The spelling of 80234032032 in words is "eighty billion, two hundred thirty-four million, thirty-two thousand, thirty-two".